4.7 Article

Higher-form symmetries and their anomalies in M-/F-theory duality

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, Particles & Fields

Cobordism conjecture, anomalies, and the String Lamppost Principle

Miguel Montero et al.

Summary: We explored triviality of cobordism classes and anomaly cancellation in supergravity theories in d > 6, leading to the existence of defects called I-folds. The compactification conditions to lower dimensions with these defects being anomaly-free impose restrictions on higher dimensional theories, particularly on the allowed rank of gauge groups. These restrictions explain observed limitations in string theory constructions, with the solutions in eight and nine dimensions matching string theory compactifications.Constraints on the global structure of the gauge group in eight and nine dimensions were also derived using these techniques.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Multidisciplinary

2-Group Symmetries of 6D Little String Theories and T-Duality

Michele Del Zotto et al.

Summary: The 2-group structure constants of six-dimensional little string theories (LSTs) engineered in F-theory without frozen singularities were determined and used as a consistency check for T-duality. The matching of 2-groups for a pair of T-dual LSTs is demonstrated, with modifications made when T-duality involves a discrete symmetry twist.

ANNALES HENRI POINCARE (2021)

Article Physics, Particles & Fields

Coulomb and Higgs branches from canonical singularities. Part 0

Cyril Closset et al.

Summary: This paper mainly discusses the five-dimensional and four-dimensional superconformal field theories arising from canonical threefold singularities in M-theory and Type IIB string theory. It studies their Coulomb and Higgs branches, and proposes a relation between the resulting moduli spaces through compactification, mirror symmetry, and gauging. By applying this framework, it determines the Higgs branches of some 5d SCFTs and their magnetic quivers. Finally, it also computes the higher-form symmetries of the 4d and 5d SCFTs.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

Higher-form symmetries of 6d and 5d theories

Lakshya Bhardwaj et al.

Summary: The paper describes general methods for determining higher-form symmetry groups of known 5d and 6d superconformal field theories (SCFTs) and 6d little string theories (LSTs). It delves into the complexity and subtleties arising from the interaction of BPS excitations and gauge group centers in describing the 1-form symmetry of these theories. Furthermore, it discusses ways to determine the 2-form symmetry group of 6d theories using the Green-Schwarz coupling associated with the theory.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

Maruyoshi-Song flows and defect groups of Dpb (G) theories

Saghar S. Hosseini et al.

Summary: By utilizing geometric engineering and BPS quivers, we studied the defect groups of D-p(b)(G) theories and found that in certain cases, a specific flow is compatible with known theories, leading to conjectures about the structure of defect groups, which were then verified in specific cases.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Mathematical

Symmetries in Quantum Field Theory and Quantum Gravity

Daniel Harlow et al.

Summary: This paper refines and establishes a set of old conjectures about symmetries in quantum gravity using the AdS/CFT correspondence. It shows the absence of bulk global symmetries in AdS/CFT and discusses how long-range bulk gauge symmetries lead to global boundary symmetries. The results are extended to higher-form symmetries and the weak gravity conjecture is applied to more general gauge groups.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2021)

Article Physics, Particles & Fields

Discrete and higher-form symmetries in SCFTs from wrapped M5-branes

Ibrahima Bah et al.

Summary: The study analyzes the topological mass terms of BF type in supersymmetric M-theory compactifications to AdS(5) and discusses the dual field theories with distinct global discrete symmetries resulting from different choices of boundary conditions for the BF terms. It provides a detailed discussion on the 't Hooft anomalies for 4d N = 1 SCFTs arising from M5-branes wrapped on a Riemann surface without punctures, including theories from M5-branes at a DOUBLE-STRUCK CAPITAL Z(2) orbifold singularity. The anomaly polynomial computation through inflow reveals background fields for discrete global 0-, 1-, and 2-form symmetries, continuous 0-form symmetries, and axionic background fields properly interpreted in the context of anomalies in the space of coupling constants.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

Instantons, symmetries and anomalies in five dimensions

Pietro Benetti Genolini et al.

Summary: This study reveals a finite-order mixed 't Hooft anomaly in five-dimensional non-abelian gauge theories, as well as an obstruction to coupling the U(1) global symmetry with a classical background gauge field associated with a one-form center symmetry. A similar obstruction is found to occur in gauge theories with fundamental matter. Furthermore, the general dynamical properties of the candidate phases implied by the anomaly are explored.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Astronomy & Astrophysics

Holography, 1-form symmetries, and confinement

Fabio Apruzzi et al.

Summary: This study focuses on confinement in 4d N = 1 SU(N) Super-Yang Mills theory, with an emphasis on the 1-form symmetry and its relation to chiral symmetry breaking. By examining the topological couplings in the 5d truncation of the Klebanov-Strassler solution, the determination of the 1-form symmetry and its 't Hooft anomalies is identified. The research also reveals an infrared 4d topological field theory that realizes chiral symmetry breaking and matches the mixed anomaly, shedding light on the connection between different symmetries in the theory.

PHYSICAL REVIEW D (2021)

Article Astronomy & Astrophysics

Swampland cobordism conjecture and non-Abelian duality groups

Markus Dierigl et al.

Summary: The study explores the cobordism conjecture regarding the triviality of the bordism group of quantum gravity, predicting the presence of D7-branes in type IIB string theory on a compactified circle. The non-Abelian structure of the IIB duality group SL(2, Z) implies the existence of additional 7-branes, with this information captured by closed paths on the moduli space of elliptic curves. By combining this conjecture with the Swampland conjecture, predictions are made for the allowed Mordell-Weil torsion groups in 8D F-theory vacua.

PHYSICAL REVIEW D (2021)

Article Physics, Particles & Fields

Modular curves and Mordell-Weil torsion in F-theory

Nadir Hajouji et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Dualities of 5d gauge theories from S-duality

Lakshya Bhardwaj

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Higher-form symmetries in 5d

David R. Morrison et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Higher form symmetries of Argyres-Douglas theories

Michele Del Zotto et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Multidisciplinary

String Universality and Non-Simply-Connected Gauge Groups in 8D

Mirjam Cvetic et al.

PHYSICAL REVIEW LETTERS (2020)

Article Physics, Particles & Fields

Higher form symmetries and M-theory

Federica Albertini et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Non-simply-connected symmetries in 6D SCFTs

Markus Dierigl et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Multidisciplinary

Anomalies in the space of coupling constants and their dynamical applications I

Clay Cordova et al.

SCIPOST PHYSICS (2020)

Article Physics, Multidisciplinary

Anomalies in the space of coupling constants and their dynamical applications II

Clay Cordova et al.

SCIPOST PHYSICS (2020)

Article Physics, Particles & Fields

IIB flux non-commutativity and the global structure of field theories

Inaki Garcia Etxebarria et al.

JOURNAL OF HIGH ENERGY PHYSICS (2019)

Editorial Material Physics, Multidisciplinary

Comments on one-form global symmetries and their gauging in 3d and 4d

Po-Shen Hsin et al.

SCIPOST PHYSICS (2019)

Article Astronomy & Astrophysics

Swampland bounds on the Abelian gauge sector

Seung-Joo Lee et al.

PHYSICAL REVIEW D (2019)

Article Physics, Particles & Fields

On geometric classification of 5d SCFTs

Patrick Jefferson et al.

JOURNAL OF HIGH ENERGY PHYSICS (2018)

Article Physics, Particles & Fields

The global gauge group structure of F-theory compactification with U(1)s

Mirjam Cvetic et al.

JOURNAL OF HIGH ENERGY PHYSICS (2018)

Article Mathematics, Applied

Inverses of Cartan matrices of Lie algebras and Lie superalgebras

Yangjiang Wei et al.

LINEAR ALGEBRA AND ITS APPLICATIONS (2017)

Article Physics, Particles & Fields

6D SCFTs and phases of 5D theories

Michele Del Zotto et al.

JOURNAL OF HIGH ENERGY PHYSICS (2017)

Article Physics, Particles & Fields

Theta, time reversal and temperature

Davide Gaiotto et al.

JOURNAL OF HIGH ENERGY PHYSICS (2017)

Article Physics, Mathematical

On the Defect Group of a 6D SCFT

Michele Del Zotto et al.

LETTERS IN MATHEMATICAL PHYSICS (2016)

Article Physics, Particles & Fields

The arithmetic of elliptic fibrations in gauge theories on a circle

Thomas W. Grimm et al.

JOURNAL OF HIGH ENERGY PHYSICS (2016)

Article Physics, Particles & Fields

Generalized global symmetries

Davide Gaiotto et al.

JOURNAL OF HIGH ENERGY PHYSICS (2015)

Article Physics, Mathematical

The E 8 Moduli 3-Stack of the C-Field in M-Theory

Domenico Fiorenza et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2015)

Article Physics, Particles & Fields

Coupling a QFT to a TQFT and duality

Anton Kapustin et al.

JOURNAL OF HIGH ENERGY PHYSICS (2014)

Article Physics, Particles & Fields

Mordell-Weil torsion and the global structure of gauge groups in F-theory

Christoph Mayrhofer et al.

JOURNAL OF HIGH ENERGY PHYSICS (2014)

Article Mathematics, Applied

Extended higher cup-product Chern-Simons theories

Domenico Fiorenza et al.

JOURNAL OF GEOMETRY AND PHYSICS (2013)

Article Physics, Particles & Fields

Reading between the lines of four-dimensional gauge theories

Ofer Aharony et al.

JOURNAL OF HIGH ENERGY PHYSICS (2013)

Article Physics, Particles & Fields

Matter from geometry without resolution

Antonella Grassi et al.

JOURNAL OF HIGH ENERGY PHYSICS (2013)

Article Physics, Particles & Fields

Constraints on 6D supergravity theories with abelian gauge symmetry

Daniel S. Park et al.

JOURNAL OF HIGH ENERGY PHYSICS (2012)

Article Physics, Particles & Fields

Anomaly equations and intersection theory

Daniel S. Park

JOURNAL OF HIGH ENERGY PHYSICS (2012)

Article Physics, Particles & Fields

F-theory and the Mordell-Weil group of elliptically-fibered Calabi-Yau threefolds

David R. Morrison et al.

JOURNAL OF HIGH ENERGY PHYSICS (2012)

Article Astronomy & Astrophysics

Symmetries and strings in field theory and gravity

Tom Banks et al.

PHYSICAL REVIEW D (2011)

Article Physics, Mathematical

The uncertainty of fluxes

Daniel S. Freed et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2007)

Article Physics, Multidisciplinary

Heisenberg groups and noncommutative fluxes

Daniel S. Freed et al.

ANNALS OF PHYSICS (2007)

Article Physics, Particles & Fields

Mordell-Weil lattice via string junctions

M Fukae et al.

NUCLEAR PHYSICS B (2000)