☆ 4.6 Article

Fractionalizing global symmetry on looplike topological excitations

PHYSICAL REVIEW B (2022)

相关参考文献

注意：仅列出部分参考文献，下载原文获取全部文献信息。

Article Physics, Multidisciplinary

Volume-preserving diffeomorphism as nonabelian higher-rank gauge symmetry

Yi-Hsien Du et al.

Summary: We propose nonabelian higher-rank gauge theories in 2+1D and 3+1D, constructed from the volume-preserving diffeomorphisms of space. The physics of the lowest Landau level (LLL) limit is interpreted as the consequences of the symmetry. The Girvin-MacDonald-Platzman (GMP) algebra and the topological Wen-Zee term are derived within our formalism. The LLL effective action of vortex crystal in rotating Bose gas and Wigner crystal of electron in an applied magnetic field are derived using the gauge symmetry in 2+1D. The fractonic behavior of the excitations on the lowest Landau level and of skyrmions in ferromagnets are interpreted as the consequences of the higher-rank gauge symmetry.

SCIPOST PHYSICS (2022)

添加到收藏夹

Article Physics, Multidisciplinary

Field theories for type-II fractons

Weslei B. Fontana et al.

Summary: The paper presents an effective field theory for a type-II fracton starting from the Haah code on the lattice. It also discusses a Chern-Simons-like theory from the opposite perspective, i.e., starting from the continuum, which does not require a constraint or projector and has no mobile excitations.

SCIPOST PHYSICS (2022)

添加到收藏夹

Article Physics, Multidisciplinary

Quantum Hydrodynamics of Fractonic Superfluids with Lineon Condensate: From Navier-Stokes-Like Equations to Landau-Like Criterion

Jian-Keng Yuan et al.

Summary: The study systematically investigates the hydrodynamical properties of fractonic superfluids with conserved angular moments, and discusses the current configurations related to the defects. The results are important for further understanding the properties of fractonic superfluids and developing new research directions.

CHINESE PHYSICS LETTERS (2022)

添加到收藏夹

Article Physics, Particles & Fields

Topological orders, braiding statistics, and mixture of two types of twisted BF theories in five dimensions

Zhi-Feng Zhang et al.

Summary: The paper presents a topological quantum field theoretical study on topological orders in five-dimensional spacetime, introducing higher-form gauge fields and constructing exotic TQFT actions. The characterization and classification of 5D topological orders encode information of 4D gravitational anomaly, and further research on putting TQFTs on 5D manifolds with boundaries is suggested.

JOURNAL OF HIGH ENERGY PHYSICS (2022)

添加到收藏夹

Article Materials Science, Multidisciplinary

Anomaly cascade in (2+1)-dimensional fermionic topological phases

Daniel Bulmash et al.

Summary: We develop a theory of anomalies of fermionic topological phases of matter and explore various obstructions related to fermionic symmetry groups. The study reveals that if any of these obstructions is nontrivial, the subsequent ones become relative anomalies. Additionally, the article presents conjectures regarding symmetry actions on super-modular categories.

PHYSICAL REVIEW B (2022)

添加到收藏夹

Article Materials Science, Multidisciplinary

Fermionic symmetry fractionalization in (2+1) dimensions

Daniel Bulmash et al.

Summary: We develop a systematic theory of symmetry fractionalization for fermionic topological phases of matter in (2 + 1)D. By analyzing the algebraic data that characterizes the anyon content in the supermodular tensor category, we identify the obstructions of bosonic and fermionic symmetry localization. When these obstructions vanish, distinct symmetry fractionalization patterns form a torsor over H-2(G(b), A/{1, psi}).

PHYSICAL REVIEW B (2022)

添加到收藏夹

Article Physics, Multidisciplinary

Higher-rank tensor field theory of non-abelian fracton and embeddon

Juven Wang et al.

Summary: The theory describes the interaction of a mixed unitary phase between gapless and gapped topological order phases, with the gauge structure in various forms including non-abelian. It transcends traditional electromagnetic and strong force theories, discussing concepts like time crystals and long-range entanglement.

ANNALS OF PHYSICS (2021)

添加到收藏夹

Article Physics, Multidisciplinary

Fractons and Exotic Symmetries from Branes

Hao Geng et al.

Summary: The study of fractons has led to the construction of various novel continuum quantum field theories, including foliated field theories, exotic field theories, and infinite-component Chern-Simons theories. By embedding these theories into D-branes for analysis, valuable insights into the physics of these interesting field theories can be obtained.

FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS (2021)

添加到收藏夹

Article Physics, Mathematical

A modified Villain formulation of fractons and other exotic theories

Pranay Gorantla et al.

Summary: This paper reformulates known exotic theories on a Euclidean spacetime lattice, modifying them to a convenient range of parameters using the Villain approach. The new lattice models are closer to the continuum limit and exhibit properties of continuum theories, showcasing emergent global symmetries and surprising dualities. The paper clarifies the relation between condensed-matter and high-energy views of these systems, emphasizing the role of symmetries associated with the topology of field space, duality, and various anomalies.

JOURNAL OF MATHEMATICAL PHYSICS (2021)

添加到收藏夹

Article Physics, Multidisciplinary

Comments on foliated gauge theories and dualities in 3+1d

Po-Shen Hsin et al.

Summary: We investigated the properties of foliated gauge fields and constructed several foliated field theories to describe foliated fracton orders in 3+1 dimensions. These theories involve Abelian or non-Abelian gauge theories coupled to foliated gauge fields, and can be classified into electric models and magnetic models. We demonstrated a duality between these two classes of foliated field theories, and also constructed a model for a subsystem-symmetry protected topological phase using foliated gauge fields.

SCIPOST PHYSICS (2021)

添加到收藏夹

Article Physics, Multidisciplinary

Renormalization group analysis on emergence of higher rank symmetry and higher moment conservation

Hongchao Li et al.

Summary: This paper explores how higher rank symmetry and higher moment conservation emerge at low energies through one-loop renormalization group analysis. By studying the vicinity of symmetric points, it is found that symmetry-disallowed kinetic terms tend to be irrelevant within the perturbative regime, potentially leading to emergent higher rank symmetry and higher moment conservation at the deep infrared limit. This analysis presents alternative promise for realizing higher rank symmetry and higher moment conservation in experimentally achievable systems.

PHYSICAL REVIEW RESEARCH (2021)

添加到收藏夹

Article Materials Science, Multidisciplinary

Fracton physics of spatially extended excitations. II. Polynomial ground state degeneracy of exactly solvable models

Meng-Yuan Li et al.

Summary: This paper computes ground state degeneracy in isotropic and anisotropic lattices by constructing solvable models and applying the mathematical game coloring method for decomposing and reconstructing ground states. The obtained GSD formulas show diverse polynomial dependence on system sizes, suggesting possible encoding of geometrical and topological fingerprints of higher-dimensional manifolds beyond toric manifolds. Further investigation is needed to explore this potential implication.

PHYSICAL REVIEW B (2021)

添加到收藏夹

Article Materials Science, Multidisciplinary

Multipolar topological field theories: Bridging higher order topological insulators and fractons

Yizhi You et al.

Summary: This study constructs topological multipolar response theories capturing the essential features of some classes of fractons with subsystem symmetries and higher order topological insulators. It finds that despite their distinct symmetry structures, some classes of fractons and HOTIs can be connected through essentially identical topological response theories. The study proposes a topological quadrupole response theory for 2D symmetry-protected fracton phases and related bosonic quadrupolar HOTIs, as well as a dipolar Chern-Simons theory for second-order HOTIs and related fracton phases in 3D, extending to higher dimensions with multipolar Chern-Simons terms and related theta-term actions.

PHYSICAL REVIEW B (2021)

添加到收藏夹

Article Materials Science, Multidisciplinary

Dual gauge theory formulation of planar quasicrystal elasticity and fractons

Piotr Surowka

Summary: The elastic properties of planar quasicrystals are described using a gauge theory with symmetric and asymmetric gauge fields corresponding to phonon and phason degrees of freedom. Topological defects in quasicrystals are succinctly incorporated in the dual description, interpreted as fractonic excitations. The static interaction potential between defects in a quasicrystal with fivefold symmetry is calculated with a small coupling between phonon and phason stresses.

PHYSICAL REVIEW B (2021)

添加到收藏夹

Article Physics, Multidisciplinary

Compatible braidings with Hopf links, multiloop, and Borromean rings in (3+1)-dimensional spacetime

Zhi-Feng Zhang et al.

Summary: This paper provides a field-theoretical approach to list mutually compatible braiding phases of topological orders in three-dimensional spacetime. By studying root braiding processes, illegitimate combinations were identified where certain braiding phases could not coexist, leading to illegitimate topological orders. The use of three-dimensional topological quantum field theories (TQFTs) helped in determining legitimate combinations and obtaining all sets of mutually compatible braiding phases and legitimate topological orders.

PHYSICAL REVIEW RESEARCH (2021)

添加到收藏夹

Article Physics, Multidisciplinary

Fractonic superfluids. II. Condensing subdimensional particles

Shuai A. Chen et al.

Summary: This paper explores an exotic fractonic superfluid phase in d-dimensional space where subdimensional particles are condensed, investigating their properties including off-diagonal long range order (ODLRO). By introducing a higher-rank symmetry in the Hamiltonian model, the stability against quantum fluctuations is demonstrated, along with the study of vortex configurations and their impact on the phase. Overall, the paper provides a detailed analysis of fractonic superfluids and their behaviors in different dimensions.

PHYSICAL REVIEW RESEARCH (2021)

添加到收藏夹

Article Physics, Multidisciplinary

Higher-rank tensor non-Abelian field theory: Higher-moment or subdimensional polynomial global symmetry, algebraic variety, Noether's theorem, and gauging

Juven Wang et al.

Summary: This paper introduces a higher-moment polynomial global symmetry in condensed matter physics, relates it to lower degree subdimensional or subsystem global symmetry on layers of submanifolds, and generalizes Noether's theorem. By promoting the higher-moment global symmetry to a local symmetry, a new family of higher-rank symmetric tensor gauge theory can be derived, along with a general class of rank-m tensor non-Abelian gauge field theory.

PHYSICAL REVIEW RESEARCH (2021)

添加到收藏夹

Article Astronomy & Astrophysics

Quantum statistics and spacetime surgery

Juven Wang et al.

PHYSICS LETTERS B (2020)

添加到收藏夹

Article Physics, Particles & Fields

Symmetry-enriched quantum spin liquids in (3+1)d

Po-Shen Hsin et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

添加到收藏夹

Article Physics, Multidisciplinary

Non-Abelian gauged fracton matter field theory: Sigma models, superfluids, and vortices

Juven Wang et al.

PHYSICAL REVIEW RESEARCH (2020)

添加到收藏夹

Article Physics, Multidisciplinary

Fractonic superfluids

Jian-Keng Yuan et al.

PHYSICAL REVIEW RESEARCH (2020)

添加到收藏夹

Article Physics, Multidisciplinary

Fractonic Chern-Simons and BF theories

Yizhi You et al.

PHYSICAL REVIEW RESEARCH (2020)

添加到收藏夹

Article Materials Science, Multidisciplinary

Fracton physics of spatially extended excitations

Meng-Yuan Li et al.

PHYSICAL REVIEW B (2020)

添加到收藏夹

Article Physics, Multidisciplinary

Field theories with a vector global symmetry

Nathan Seiberg

SCIPOST PHYSICS (2020)

添加到收藏夹

Article Materials Science, Multidisciplinary

Topological quantum field theory for Abelian topological phases and loop braiding statistics in (3+1)-dimensions

Qing-Rui Wang et al.

PHYSICAL REVIEW B (2019)

添加到收藏夹

Article Materials Science, Multidisciplinary

Symmetry fractionalization, defects, and gauging of topological phases

Maissam Barkeshli et al.

PHYSICAL REVIEW B (2019)

添加到收藏夹

Article Materials Science, Multidisciplinary

Generalized Wen-Zee terms

Bo Han et al.

PHYSICAL REVIEW B (2019)

添加到收藏夹

Article Physics, Multidisciplinary

Foliated field theory and string-membrane-net condensation picture of fracton order

Kevin Slagle et al.

SCIPOST PHYSICS (2019)

添加到收藏夹

Article Physics, Multidisciplinary

Classification of (3+1)D Bosonic Topological Orders: The Case When Pointlike Excitations Are All Bosons

Tian Lan et al.

PHYSICAL REVIEW X (2018)

添加到收藏夹

Article Physics, Multidisciplinary

Braiding with Borromean Rings in (3+1)-Dimensional Spacetime

AtMa P. O. Chan et al.

PHYSICAL REVIEW LETTERS (2018)

添加到收藏夹

Article Materials Science, Multidisciplinary

Three-dimensional anomalous twisted gauge theories with global symmetry: Implications for quantum spin liquids

Peng Ye

PHYSICAL REVIEW B (2018)

添加到收藏夹

Article Materials Science, Multidisciplinary

Entanglement entropy for (3+1)-dimensional topological order with excitations

Xueda Wen et al.

PHYSICAL REVIEW B (2018)

添加到收藏夹

Article Physics, Mathematical

Modular Extensions of Unitary Braided Fusion Categories and 2+1D Topological/SPT Orders with Symmetries

Tian Lan et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2017)

添加到收藏夹

Review Physics, Multidisciplinary

Quantum spin liquids: a review

Lucile Savary et al.

REPORTS ON PROGRESS IN PHYSICS (2017)

添加到收藏夹

Article Physics, Multidisciplinary

Colloquium: Zoo of quantum-topological phases of

Xiao-Gang Wen

REVIEWS OF MODERN PHYSICS (2017)

添加到收藏夹

Article Physics, Multidisciplinary

Quantum spin liquid states

Yi Zhou et al.

REVIEWS OF MODERN PHYSICS (2017)

添加到收藏夹

Article Materials Science, Multidisciplinary

Surfaces and slabs of fractional topological insulator heterostructures

Sharmistha Sahoo et al.

PHYSICAL REVIEW B (2017)

添加到收藏夹

Article Materials Science, Multidisciplinary

Quantum field theory of X-cube fracton topological order and robust degeneracy from geometry

Kevin Slagle et al.

PHYSICAL REVIEW B (2017)

添加到收藏夹

Article Physics, Multidisciplinary

Braiding statistics and link invariants of bosonic/fermionic topological quantum matter in 2+1 and 3+1 dimensions

Pavel Putrov et al.

ANNALS OF PHYSICS (2017)

添加到收藏夹

Article Materials Science, Multidisciplinary

Symmetric-gapped surface states of fractional topological insulators

Gil Young Cho et al.

PHYSICAL REVIEW B (2017)

添加到收藏夹

Article Materials Science, Multidisciplinary

Fractional S-duality, classification of fractional topological insulators, and surface topological order

Peng Ye et al.

PHYSICAL REVIEW B (2017)

添加到收藏夹

Article Materials Science, Multidisciplinary

Wilson operator algebras and ground states of coupled BF theories

Apoorv Tiwari et al.

PHYSICAL REVIEW B (2017)

添加到收藏夹

Article Materials Science, Multidisciplinary

Exactly soluble local bosonic cocycle models, statistical transmutation, and simplest time-reversal symmetric topological orders in 3+1 dimensions

Xiao-Gang Wen

PHYSICAL REVIEW B (2017)

添加到收藏夹

Article Materials Science, Multidisciplinary

Field theories for gauged symmetry-protected topological phases: Non-Abelian anyons with Abelian gauge group Z2⊗3

Huan He et al.

PHYSICAL REVIEW B (2017)

添加到收藏夹

Article Materials Science, Multidisciplinary

Classification and properties of symmetry-enriched topological phases: Chern-Simons approach with applications to Z2 spin liquids

Yuan-Ming Lu et al.

PHYSICAL REVIEW B (2016)

添加到收藏夹

Article Materials Science, Multidisciplinary

Symmetry enrichment in three-dimensional topological phases

Shang-Qiang Ning et al.

PHYSICAL REVIEW B (2016)

添加到收藏夹

Article Materials Science, Multidisciplinary

Composite particle theory of three-dimensional gapped fermionic phases: Fractional topological insulators and charge-loop excitation symmetry

Peng Ye et al.

PHYSICAL REVIEW B (2016)

添加到收藏夹

Article Materials Science, Multidisciplinary

Symmetry fractionalization and anomaly detection in three-dimensional topological phases

Xie Chen et al.

PHYSICAL REVIEW B (2016)

添加到收藏夹

Article Materials Science, Multidisciplinary

Topological quantum field theory of three-dimensional bosonic Abelian-symmetry-protected topological phases

Peng Ye et al.

PHYSICAL REVIEW B (2016)

添加到收藏夹

Article Materials Science, Multidisciplinary

Bulk-boundary correspondence in (3+1)-dimensional topological phases

Xiao Chen et al.

PHYSICAL REVIEW B (2016)

添加到收藏夹

Article Physics, Multidisciplinary

Theory of twist liquids: Gauging an anyonic symmetry

Jeffrey C. Y. Teo et al.

ANNALS OF PHYSICS (2015)

添加到收藏夹

Article Physics, Multidisciplinary

Fractionalized topological insulators

Joseph Maciejko et al.

NATURE PHYSICS (2015)

添加到收藏夹

Article Materials Science, Multidisciplinary

Twisted gauge theory model of topological phases in three dimensions

Yidun Wan et al.

PHYSICAL REVIEW B (2015)

添加到收藏夹

Article Physics, Multidisciplinary

Field-Theory Representation of Gauge-Gravity Symmetry-Protected Topological Invariants, Group Cohomology, and Beyond

Juven C. Wang et al.

PHYSICAL REVIEW LETTERS (2015)

添加到收藏夹

Article Physics, Multidisciplinary

Vortex-Line Condensation in Three Dimensions: A Physical Mechanism for Bosonic Topological Insulators

Peng Ye et al.

PHYSICAL REVIEW X (2015)

添加到收藏夹

Article Materials Science, Multidisciplinary

Constructing symmetric topological phases of bosons in three dimensions via fermionic projective construction and dyon condensation

Peng Ye et al.

PHYSICAL REVIEW B (2014)

添加到收藏夹

Article Physics, Multidisciplinary

Braiding Statistics of Loop Excitations in Three Dimensions

Chenjie Wang et al.

PHYSICAL REVIEW LETTERS (2014)

添加到收藏夹

Article Multidisciplinary Sciences

Coherent transmutation of electrons into fractionalized anyons

Maissam Barkeshli et al.

SCIENCE (2014)

添加到收藏夹

Article Physics, Multidisciplinary

Model Realization and Numerical Studies of a Three-Dimensional Bosonic Topological Insulator and Symmetry-Enriched Topological Phases

Scott D. Geraedts et al.

PHYSICAL REVIEW X (2014)

添加到收藏夹

Article Physics, Multidisciplinary

Layer Construction of 3D Topological States and String Braiding Statistics

Chao-Ming Jian et al.

PHYSICAL REVIEW X (2014)

添加到收藏夹

Article Physics, Multidisciplinary

Generalized Modular Transformations in (3+1)D Topologically Ordered Phases and Triple Linking Invariant of Loop Braiding

Shenghan Jiang et al.

PHYSICAL REVIEW X (2014)

添加到收藏夹

Article Physics, Particles & Fields

Coupling a QFT to a TQFT and duality

Anton Kapustin et al.

JOURNAL OF HIGH ENERGY PHYSICS (2014)

添加到收藏夹

Article Materials Science, Multidisciplinary

Wave functions of bosonic symmetry protected topological phases

Cenke Xu et al.

PHYSICAL REVIEW B (2013)

添加到收藏夹

Article Materials Science, Multidisciplinary

Three-dimensional Z2 topological phases enriched by time-reversal symmetry

Cenke Xu

PHYSICAL REVIEW B (2013)

添加到收藏夹

Article Materials Science, Multidisciplinary

Quantized topological terms in weak-coupling gauge theories with a global symmetry and their connection to symmetry-enriched topological phases

Ling-Yan Hung et al.

PHYSICAL REVIEW B (2013)

添加到收藏夹

Article Materials Science, Multidisciplinary

Symmetry-protected topological phases with charge and spin symmetries: Response theory and dynamical gauge theory in two and three dimensions

Peng Ye et al.

PHYSICAL REVIEW B (2013)

添加到收藏夹

Article Materials Science, Multidisciplinary

Boson topological insulators: A window into highly entangled quantum phases

Chong Wang et al.

PHYSICAL REVIEW B (2013)

添加到收藏夹

Article Materials Science, Multidisciplinary

Symmetry protected topological orders and the group cohomology of their symmetry group

Xie Chen et al.

PHYSICAL REVIEW B (2013)

添加到收藏夹

Article Materials Science, Multidisciplinary

K matrix construction of symmetry-enriched phases of matter

Ling-Yan Hung et al.

PHYSICAL REVIEW B (2013)

添加到收藏夹

Article Materials Science, Multidisciplinary

Classification of symmetry enriched topological phases with exactly solvable models

Andrej Mesaros et al.

PHYSICAL REVIEW B (2013)

添加到收藏夹

Article Materials Science, Multidisciplinary

Bosonic topological insulator in three dimensions and the statistical Witten effect

Max A. Metlitski et al.

PHYSICAL REVIEW B (2013)

添加到收藏夹

Article Physics, Multidisciplinary

Physics of Three-Dimensional Bosonic Topological Insulators: Surface-Deconfined Criticality and Quantized Magnetoelectric Effect

Ashvin Vishwanath et al.

PHYSICAL REVIEW X (2013)

添加到收藏夹

Article Materials Science, Multidisciplinary

Experimental signatures of three-dimensional fractional topological insulators

Brian Swingle

PHYSICAL REVIEW B (2012)

添加到收藏夹

Article Materials Science, Multidisciplinary

Models of three-dimensional fractional topological insulators

Joseph Maciejko et al.

PHYSICAL REVIEW B (2012)

添加到收藏夹

Article Multidisciplinary Sciences

Symmetry-Protected Topological Orders in Interacting Bosonic Systems

Xie Chen et al.

SCIENCE (2012)

添加到收藏夹

Article Materials Science, Multidisciplinary

Correlated topological insulators and the fractional magnetoelectric effect

B. Swingle et al.

PHYSICAL REVIEW B (2011)

添加到收藏夹

Article Materials Science, Multidisciplinary

Classification of gapped symmetric phases in one-dimensional spin systems

Xie Chen et al.

PHYSICAL REVIEW B (2011)

添加到收藏夹

Article Materials Science, Multidisciplinary

Exactly soluble models for fractional topological insulators in two and three dimensions

Michael Levin et al.

PHYSICAL REVIEW B (2011)

添加到收藏夹

Article Materials Science, Multidisciplinary

Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order

Xie Chen et al.

PHYSICAL REVIEW B (2010)

添加到收藏夹

Article Physics, Multidisciplinary

Topological Order with a Twist: Ising Anyons from an Abelian Model

H. Bombin

PHYSICAL REVIEW LETTERS (2010)

添加到收藏夹

Article Physics, Multidisciplinary

Fractional Topological Insulators in Three Dimensions

Joseph Maciejko et al.

PHYSICAL REVIEW LETTERS (2010)

添加到收藏夹

Article Physics, Multidisciplinary

Fractional Topological Insulators

Michael Levin et al.

PHYSICAL REVIEW LETTERS (2009)

添加到收藏夹

Review Physics, Multidisciplinary

Non-Abelian anyons and topological quantum computation

Chetan Nayak et al.

REVIEWS OF MODERN PHYSICS (2008)

添加到收藏夹

Article Materials Science, Multidisciplinary

Spin-liquid states on the triangular and Kagome lattices: A projective-symmetry-group analysis of Schwinger boson states

Fa Wang et al.

PHYSICAL REVIEW B (2006)

添加到收藏夹

Review Physics, Multidisciplinary

Doping a Mott insulator: Physics of high-temperature superconductivity

PA Lee et al.

REVIEWS OF MODERN PHYSICS (2006)

添加到收藏夹

Article Multidisciplinary Sciences

Localization of fractionally charged quasi-particles

J Martin et al.

SCIENCE (2004)

添加到收藏夹

Article Materials Science, Multidisciplinary

Quantum orders and symmetric spin liquids

XG Wen

PHYSICAL REVIEW B (2002)

添加到收藏夹

© Peeref 2019-2024. All rights reserved.