Exact solutions of 2d supersymmetric gauge theories

Gadde, Abhijit; Gukov, Sergei; Putrov, Pavel

doi:10.1007/JHEP11(2019)174

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Exact solutions of 2d supersymmetric gauge theories

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Gukov, Sergei
Max Planck Institute for Mathematics, Max Planck Society;

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Citation

Gadde, A., Gukov, S., & Putrov, P. (2019). Exact solutions of 2d supersymmetric gauge theories. Journal of High Energy Physics, 2019(11): 174. doi:10.1007/JHEP11(2019)174.

Cite as: https://hdl.handle.net/21.11116/0000-0005-7C35-5

Abstract

We study dynamics of two-dimensional non-abelian gauge theories with N=(0,2)
supersymmetry that include N=(0,2) supersymmetric QCD and its generalizations.
In particular, we present the phase diagram of N=(0,2) SQCD and determine its
massive and low-energy spectrum. We find that the theory has no mass gap, a
nearly constant distribution of massive states, and lots of massless states
that in general flow to an interacting CFT. For a range of parameters where
supersymmetry is not dynamically broken at low energies, we give a complete
description of the low-energy physics in terms of 2d N=(0,2) SCFTs using
anomaly matching and modular invariance. Our construction provides a vast
landscape of new N=(0,2) SCFTs which, for small values of the central charge,
could be used for building novel heterotic models with no moduli and, for large
values of the central charge, could be dual to AdS_3 string vacua.