4.4 Article

Topological string amplitudes and Seiberg-Witten prepotentials from the counting of dimers in transverse flux

Related references

Note: Only part of the references are listed.
Article Physics, Mathematical

Vafa-Witten Invariants from Exceptional Collections

Guillaume Beaujard et al.

Summary: This paragraph discusses supersymmetric D-branes supported on local Calabi-Yau threefolds, describing them using semi-stable coherent sheaves on a complex two-dimensional base, and explores the relationship between BPS indices and Vafa-Witten invariants. A general method for computing these invariants is developed by exploiting the isomorphism between coherent sheaves and representations of a specific quiver with potential. The paragraph also elaborates on the dictionary between different concepts and finds precise agreement with independent computations of Vafa-Witten invariants.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2021)

Article Physics, Mathematical

Higher-rank isomonodromic deformations and W-algebras

Pavlo Gavrylenko et al.

LETTERS IN MATHEMATICAL PHYSICS (2020)

Article Physics, Particles & Fields

Bloch electrons on honeycomb lattice and toric Calabi-Yau geometry

Yasuyuki Hatsuda et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Astronomy & Astrophysics

Quantization of Harer-Zagier formulas

A. Morozov et al.

PHYSICS LETTERS B (2020)

Article Physics, Mathematical

Quantum curves and q-deformed Painleve equations

Giulio Bonelli et al.

LETTERS IN MATHEMATICAL PHYSICS (2019)

Article Physics, Multidisciplinary

CLUSTER TODA CHAINS AND NEKRASOV FUNCTIONS

M. A. Bershtein et al.

THEORETICAL AND MATHEMATICAL PHYSICS (2019)

Article Physics, Particles & Fields

Cluster integrable systems and spin chains

A. Marshakov et al.

JOURNAL OF HIGH ENERGY PHYSICS (2019)

Article Physics, Particles & Fields

Cluster integrable systems, q-Painleve equations and their quantization

M. Bershtein et al.

JOURNAL OF HIGH ENERGY PHYSICS (2018)

Article Physics, Mathematical

Fredholm Determinant and Nekrasov Sum Representations of Isomonodromic Tau Functions

P. Gavrylenko et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2018)

Article Physics, Multidisciplinary

q-deformed Painleve τ function and q-deformed conformal blocks

M. A. Bershtein et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2017)

Article Mathematics

Dimers and cluster integrable systems

Alexander B. Goncharov et al.

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE (2017)

Article Astronomy & Astrophysics

Calabi-Yau geometry and electrons on 2d lattices

Yasuyuki Hatsuda et al.

PHYSICAL REVIEW D (2017)

Article Physics, Multidisciplinary

Hofstadter's butterfly in quantum geometry

Yasuyuki Hatsuda et al.

NEW JOURNAL OF PHYSICS (2016)

Article Physics, Multidisciplinary

FREE FERMIONS, W-ALGEBRAS, AND ISOMONODROMIC DEFORMATIONS

P. G. Gavrylenko et al.

THEORETICAL AND MATHEMATICAL PHYSICS (2016)

Article Physics, Mathematical

From Polygons to Ultradiscrete Painleve Equations

Christopher Michael Ormerod et al.

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS (2015)

Article Physics, Particles & Fields

Isomonodromic τ-functions and WN conformal blocks

P. Gavrylenko

JOURNAL OF HIGH ENERGY PHYSICS (2015)

Article Physics, Mathematical

Isomonodromic Tau-Functions from Liouville Conformal Blocks

N. Iorgov et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2015)

Article Physics, Particles & Fields

Residue formulas for prepotentials, instanton expansions and conformal blocks

P. Gavrylenko et al.

JOURNAL OF HIGH ENERGY PHYSICS (2014)

Article Physics, Mathematical

Dimer Models from Mirror Symmetry and Quivering Amoebae

Bo Feng et al.

Advances in Theoretical and Mathematical Physics (2013)

Article Physics, Mathematical

Dimer models, free fermions and super quantum mechanics

Robbert Dijkgraaf et al.

Advances in Theoretical and Mathematical Physics (2013)

Article Physics, Multidisciplinary

How instanton combinatorics solves Painleve VI, V and IIIs

O. Gamayun et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2013)

Article Physics, Particles & Fields

Wall crossing, quivers and crystals

Mina Aganagic et al.

JOURNAL OF HIGH ENERGY PHYSICS (2012)

Article Physics, Particles & Fields

Quantum algebraic approach to refined topological vertex

H. Awata et al.

JOURNAL OF HIGH ENERGY PHYSICS (2012)

Article Physics, Particles & Fields

Erratum: Conformal field theory of Painlevé VI

O. Gamayun et al.

JOURNAL OF HIGH ENERGY PHYSICS (2012)

Review Physics, Nuclear

CRYSTAL MELTING AND WALL CROSSING PHENOMENA

Masahito Yamazaki

INTERNATIONAL JOURNAL OF MODERN PHYSICS A (2011)

Article Mathematics

On the noncommutative Donaldson-Thomas invariants arising from brane tilings

Sergey Mozgovoy et al.

ADVANCES IN MATHEMATICS (2010)

Article Physics, Mathematical

Liouville Correlation Functions from Four-Dimensional Gauge Theories

Luis F. Alday et al.

LETTERS IN MATHEMATICAL PHYSICS (2010)

Article Mathematics

CLUSTER ENSEMBLES, QUANTIZATION AND THE DILOGARITHM

Vladimir V. Fock et al.

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE (2009)

Article Physics, Mathematical

Crystal Melting and Toric Calabi-Yau Manifolds

Hirosi Ooguri et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2009)

Article Physics, Mathematical

Wall Crossing of BPS States on the Conifold from Seiberg Duality and Pyramid Partitions

Wu-yen Chuang et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2009)

Article Mathematics

Computing a pyramid partition generating function with dimer shuffling

Ben Young

JOURNAL OF COMBINATORIAL THEORY SERIES A (2009)

Article Physics, Multidisciplinary

Emergent Calabi-Yau Geometry

Hirosi Ooguri et al.

PHYSICAL REVIEW LETTERS (2009)

Article Mathematics, Applied

Poisson geometry of directed networks in a disk

Michael Gekhtman et al.

SELECTA MATHEMATICA-NEW SERIES (2009)

Article Physics, Particles & Fields

The refined topological vertex

Amer Iqbal et al.

JOURNAL OF HIGH ENERGY PHYSICS (2009)

Article Physics, Mathematical

Height fluctuations in the honeycomb dimer model

Richard Kenyon

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2008)

Article Physics, Particles & Fields

Quantum foam and topological strings

Amer Iqbal et al.

JOURNAL OF HIGH ENERGY PHYSICS (2008)

Article Physics, Particles & Fields

Crystal melting and black holes

Jonathan J. Heckman et al.

JOURNAL OF HIGH ENERGY PHYSICS (2007)

Article Physics, Nuclear

Amoebas and instantons

Takashi Maeda et al.

INTERNATIONAL JOURNAL OF MODERN PHYSICS A (2007)

Article Mathematics

Planar dimers and Harnack curves

R Kenyon et al.

DUKE MATHEMATICAL JOURNAL (2006)

Article Physics, Particles & Fields

Brane dimers and quiver gauge theories

S Franco et al.

JOURNAL OF HIGH ENERGY PHYSICS (2006)

Article Mathematics

Quantum cluster algebras

A Berenstein et al.

ADVANCES IN MATHEMATICS (2005)

Article Physics, Mathematical

The topological vertex

M Aganagic et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2005)

Article Mathematics

Cluster algebras III: Upper bounds and double Bruhat cells

A Berenstein et al.

DUKE MATHEMATICAL JOURNAL (2005)

Article Mathematics, Applied

CLUSTER ALGEBRAS AND POISSON GEOMETRY

Michael Gekhtman et al.

MOSCOW MATHEMATICAL JOURNAL (2003)