The quiver approach to the BPS spectrum of a 4d N=2 gauge theory

Abstract

We present a survey of the computation of the BPS spectrum of a general four-dimensional N=2 supersymmetric gauge theory in terms of the Representation Theory of quivers with superpotential. We focus on SYM with a general gauge group G coupled to standard matter in arbitrary representations of G (consistent with a non--positive beta--function). The situation is particularly tricky and interesting when the matter consists of an odd number of half-hypermultiplets: we describe in detail SU(6) SYM coupled to half a 20, SO(12) SYM coupled to half a 32, and E_7 SYM coupled to half a 56.

Proceedings of String Math 2012, Bonn; final version for publication; 15 pages, 7 figures

References in corpus (5)

• R-Twisting and 4d/2d Correspondences
• Infinitely many N=2 SCFT with ADE flavor symmetry
• Categorical Tinkertoys for N=2 Gauge Theories
• Half--Hypers and Quivers
• Spectral Networks and Snakes

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• The BPS spectrum of the 4d N=2 SCFT's H_1, H_2, D_4, E_6, E_7, E_8
• BPS Hall Algebra of Scattering Hall States