Quantum Wall Crossing in N=2 Gauge Theories
arXiv:0912.1346 · doi:10.1007/s11005-010-0437-x
Abstract
We study refined and motivic wall-crossing formulas in N=2 supersymmetric gauge theories with SU(2) gauge group and N_f < 4 matter hypermultiplets in the fundamental representation. Such gauge theories provide an excellent testing ground for the conjecture that "refined = motivic."
24 pages, 4 figures
References in corpus (6)
- Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
- Wall-crossing, Hitchin Systems, and the WKB Approximation
- BPS Wall Crossing and Topological Strings
- Crossing the Wall: Branes vs. Bundles
- Topological Strings and (Almost) Modular Forms
- Poisson automorphisms and quiver moduli
Cited by in corpus (59)
- R-Twisting and 4d/2d Correspondences
- Spectral networks
- Schur Indices, BPS Particles, and Argyres-Douglas Theories
- Wall-Crossing from Boltzmann Black Hole Halos
- Wall-Crossing in Coupled 2d-4d Systems
- N=2 Quantum Field Theories and Their BPS Quivers
- BPS Degeneracies and Superconformal Index in Diverse Dimensions
- Infrared Computations of Defect Schur Indices
- BPS Quivers and Spectra of Complete N=2 Quantum Field Theories
- Wall-crossing from supersymmetric galaxies
- The matrix model version of AGT conjecture and CIV-DV prepotential
- On Arnold's 14 `exceptional' N=2 superconformal gauge theories
- Categorical Tinkertoys for N=2 Gauge Theories
- An Index Formula for Supersymmetric Quantum Mechanics
- Spectral Networks with Spin
- Wall Crossing, Quivers and Crystals
- Wall-crossing, Rogers dilogarithm, and the QK/HK correspondence
- Four ways across the wall
- S-duality as a beta-deformed Fourier transform
- Surface Defect Indices and 2d-4d BPS States
- Five-dimensional gauge theory and compactification on a torus
- More Arnold's N = 2 superconformal gauge theories
- Wall-crossing of D4-D2-D0 and flop of the conifold
- Homological algebra of knots and BPS states
- Line defects and (framed) BPS quivers
- Instantons, Quivers and Noncommutative Donaldson-Thomas Theory
- Refined Black Hole Ensembles and Topological Strings
- Line defect Schur indices, Verlinde algebras and fixed points
- Spectral Networks and Snakes
- On a hyperholomorphic line bundle over the Coulomb branch
- Wall-crossing of the motivic Donaldson-Thomas invariants
- Geometric engineering of (framed) BPS states
- The BPS spectrum of the 4d N=2 SCFT's H_1, H_2, D_4, E_6, E_7, E_8
- Refined open non-commutative Donaldson-Thomas invariants for small crepant resolutions
- Wallcrossing and Cohomology of The Moduli Space of Hitchin Pairs
- Multiple D4-D2-D0 on the Conifold and Wall-crossing with the Flop
- Challenges of beta-deformation
- BPS spectrum, wall crossing and quantum dilogarithm identity
- -nonabelianization for line defects
- Comments on Exchange Graphs in Cluster Algebras
- Superconformal Index, BPS Monodromy and Chiral Algebras
- BPS Spectrum, Indices and Wall Crossing in N=4 Supersymmetric Yang-Mills Theories
- Discrete Integrable Systems, Supersymmetric Quantum Mechanics, and Framed BPS States - I
- An infrared bootstrap of the Schur index with surface defects
- c-map as c=1 string
- Mutation Symmetries in BPS Quiver Theories: Building the BPS Spectra
- BPS dyons and Hesse flow
- K3 metrics from little string theory
- HOMFLY polynomials, stable pairs and motivic Donaldson-Thomas invariants
- Joyce-Song wall-crossing as an asymptotic expansion
- Evidence for Duality of Conifold from Fundamental String
- Homological mirror symmetry of Fermat polynomials
- BPS invariants of semi-stable sheaves on rational surfaces
- Semiclassical Entropy of BPS States in 4d Theories and Counts of Geodesics
- BPS spectra from BPS graphs
- Macdonald Index From Refined Kontsevich-Soibelman Operator
- The quantum UV-IR map for line defects in -type class theories
- Quantum TBA for refined BPS indices
- On Some Computations of Higher Rank Refined Donaldson-Thomas Invariants