BPS spectrum, wall crossing and quantum dilogarithm identity

Abstract

BPS spectrum with finite number of states are found for higher rank four dimensional N=2 theory engineered from six dimensional A_{N-1} (2,0) theory on a Riemann surface with various kinds of defects. The wall crossing formula is interpreted as the quantum dilogarithm identity. Various methods including quiver representation theory, maximal green mutation, and cluster algebra are used extensively. The spectral generator and its refined version for the higher rank theory are written down using the explicit spectrum information. The finite chamber has an interesting N^3 behavior in the large N limit.

107 pages, 72 figures

References in corpus (39)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• N=2 dualities
• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• New N=2 Superconformal Field Theories in Four Dimensions
• Four-dimensional wall-crossing via three-dimensional field theory
• Wall-crossing, Hitchin Systems, and the WKB Approximation
• S-duality in N=2 supersymmetric gauge theories
• R-Twisting and 4d/2d Correspondences
• Mirrors of 3d Sicilian theories
• The Strong-Coupling Spectrum of the Seiberg-Witten Theory
• Wall-Crossing from Boltzmann Black Hole Halos
• Wall-Crossing in Coupled 2d-4d Systems
• Refined, Motivic, and Quantum
• N=2 Quantum Field Theories and Their BPS Quivers
• BPS Structure of Argyres-Douglas Superconformal Theories
• Curves of Marginal Stability and Weak and Strong-Coupling BPS Spectra in $N=2$ Supersymmetric QCD
• Quantum Wall Crossing in N=2 Gauge Theories
• The BPS Spectra and Superconformal Points in Massive N=2 Supersymmetric QCD
• Braids, Walls, and Mirrors
• BPS Quivers and Spectra of Complete N=2 Quantum Field Theories
• Wall crossing in local Calabi Yau manifolds
• From Black Holes to Quivers
• Wall Crossing of BPS States on the Conifold from Seiberg Duality and Pyramid Partitions
• Wall-crossing from supersymmetric galaxies
• Superconformal Partition Functions and Non-perturbative Topological Strings
• BPS Wall Crossing and Topological Strings
• Classification of complete N=2 supersymmetric theories in 4 dimensions
• Bound state transformation walls
• Open BPS Wall Crossing and M-theory
• On a Boundary CFT Description of Nonperturbative N=2 Yang-Mills Theory
• Wall Crossing, Quivers and Crystals
• Gauge Theories Labelled by Three-Manifolds
• Ab Initio Wall-Crossing
• N=2 Generalized Superconformal Quiver Gauge Theory
• Spectral Networks and Snakes
• Network, Cluster coordinates and N=2 theory I
• Network, cluster coordinates and N = 2 theory II: Irregular singularity
• Wallcrossing and Cohomology of The Moduli Space of Hitchin Pairs

Cited by in corpus (10)

• Classification of Argyres-Douglas theories from M5 branes
• Central charges and RG flow of strongly-coupled N=2 theory
• Higher laminations, webs and N=2 line operators
• Line defects and (framed) BPS quivers
• Geometric engineering of (framed) BPS states
• Confinement and duality in supersymmetric gauge theories
• Discrete Integrable Systems, Supersymmetric Quantum Mechanics, and Framed BPS States - I
• Quantum Dilogarithm Identities at Root of Unity
• Three dimensional Seiberg-like duality and tropical cluster algebra
• The No Gap Conjecture for tame hereditary algebras