N=2 Quantum Field Theories and Their BPS Quivers
arXiv:1112.3984
Abstract
We explore the relationship between four-dimensional N=2 quantum field theories and their associated BPS quivers. For a wide class of theories including super-Yang-Mills theories, Argyres-Douglas models, and theories defined by M5-branes on punctured Riemann surfaces, there exists a quiver which implicitly characterizes the field theory. We study various aspects of this correspondence including the quiver interpretation of flavor symmetries, gauging, decoupling limits, and field theory dualities. In general a given quiver describes only a patch of the moduli space of the field theory, and a key role is played by quantum mechanical dualities, encoded by quiver mutations, which relate distinct quivers valid in different patches. Analyzing the consistency conditions imposed on the spectrum by these dualities results in a powerful and novel mutation method for determining the BPS states. We apply our method to determine the BPS spectrum in a wide class of examples, including the strong coupling spectrum of super-Yang-Mills with an ADE gauge group and fundamental matter, and trinion theories defined by M5-branes on spheres with three punctures.
93 Pages, 18 Figures
References in corpus (11)
- Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
- S-duality in N=2 supersymmetric gauge theories
- Dimer models and toric diagrams
- R-Twisting and 4d/2d Correspondences
- Wall-Crossing from Boltzmann Black Hole Halos
- The gravity duals of N=2 superconformal field theories
- Seiberg Duality for Quiver Gauge Theories
- BPS Quivers and Spectra of Complete N=2 Quantum Field Theories
- BPS Wall Crossing and Topological Strings
- More Arnold's N = 2 superconformal gauge theories
- Equivalence of Three Wall Crossing Formulae
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- Four-Dimensional SCFTs from M5-Branes
- Schur Indices, BPS Particles, and Argyres-Douglas Theories
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- On the Superconformal Index of Argyres-Douglas Theories
- N=1 Deformations and RG Flows of N=2 SCFTs, Part II: Non-principal deformations
- More on the N=2 superconformal systems of type
- RG Flows and Bifurcations
- Surface Defects and Chiral Algebras
- BPS Degeneracies and Superconformal Index in Diverse Dimensions
- Infinitely many N=2 SCFT with ADE flavor symmetry
- BPS Quivers and Spectra of Complete N=2 Quantum Field Theories
- Central charges and RG flow of strongly-coupled N=2 theory
- Wild Wall Crossing and BPS Giants
- On the Coulomb and Higgs branch formulae for multi-centered black holes and quiver invariants
- Categorical Tinkertoys for N=2 Gauge Theories
- Quivers with potentials associated to triangulated surfaces, part IV: Removing boundary assumptions
- Quiver Yangian and Supersymmetric Quantum Mechanics
- An Index Formula for Supersymmetric Quantum Mechanics
- Cluster integrable systems, q-Painleve equations and their quantization
- Quantum Higgs branches of isolated N=2 superconformal field theories
- W_3 irregular states and isolated N=2 superconformal field theories
- Vafa-Witten invariants from exceptional collections
- Quarter-BPS AdS5 solutions in M-theory with a T2 bundle over a Riemann surface
- Exponential BPS graphs and D brane counting on toric Calabi-Yau threefolds: Part I
- New Directions in Bipartite Field Theories
- Quiver mutation and combinatorial DT-invariants
- On the chiral algebra of Argyres-Douglas theories and S-duality
- Line defects and (framed) BPS quivers
- Half--Hypers and Quivers
- Lie Groups, Cluster Variables and Integrable Systems
- On the BPS spectrum of 5d SU(2) super-Yang-Mills
- Spectral Networks and Snakes
- 5D BPS Quivers and KK Towers
- Network, Cluster coordinates and N=2 theory I
- 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
- Kinetic Mixing at Strong Coupling
- Dessins d'Enfants in Generalised Quiver Theories
- Network, cluster coordinates and N = 2 theory II: Irregular singularity
- Abelianization of BPS Quivers and the Refined Higgs Index
- BPS Hall Algebra of Scattering Hall States
- A survey on maximal green sequences
- The quiver approach to the BPS spectrum of a 4d N=2 gauge theory
- Elliptic Loci of SU(3) Vacua
- The BPS Spectrum Generator In 2d-4d Systems
- BPS spectrum, wall crossing and quantum dilogarithm identity
- Regge Trajectories in Supersymmetric Yang-Mills Theory
- Counting Trees in Supersymmetric Quantum Mechanics
- Confinement and duality in supersymmetric gauge theories
- Homological S-Duality in 4d N=2 QFTs
- On Supersymmetric Interface Defects, Brane Parallel Transport, Order-Disorder Transition and Homological Mirror Symmetry
- Discrete Integrable Systems, Supersymmetric Quantum Mechanics, and Framed BPS States - I
- OPE of Wilson-'t Hooft operators in N=4 and N=2 SYM with gauge group G=PSU(3)
- Asymptotics of Ground State Degeneracies in Quiver Quantum Mechanics
- systems, systems, and 4D supersymmetric QFT
- Weak Coupling Chambers in N=2 BPS Quiver Theory
- Higher S-dualities and Shephard-Todd groups
- About the Absence of Exotics and the Coulomb Branch Formula
- Four-dimensional N=2 Field Theory and Physical Mathematics
- On Framed Quivers, BPS Invariants and Defects
- The -plane of rank-one 4d KK theories
- On Maximal Green Sequences
- Calabi-Yau completions and orbifold equivalences
- Three dimensional Seiberg-like duality and tropical cluster algebra
- Algebraicity and Asymptotics: An explosion of BPS indices from algebraic generating series
- A comment on 4d and 5d BPS states
- Wavefunctions for a Class of Branes in Three-space
- BPS Spectra, Barcodes and Walls
- Topological recursion and uncoupled BPS structures I: BPS spectrum and free energies
- Q-Systems, Factorization Dynamics, and the Twist Automorphism
- Semiclassical Entropy of BPS States in 4d Theories and Counts of Geodesics
- Quiver Gauge theories from Lie Superalgebras
- Mutation, Witten Index, and Quiver Invariant
- Cluster Algebras and Supersymmetric Gauge Theories
- Singularity Structure of N=2 Supersymmetric Yang-Mills Theories: A Review