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    The Infrared Physics of Bad Theories

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    SciPost Physics

    Stichting SciPost

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        Abstract

        We study the complete moduli space of vacua of 3d SQCD theories with fundamentals, building on the algebraic description of the Coulomb branch, and deduce the low energy physics in any vacuum from the local geometry of the moduli space. We confirm previous claims for good and ugly SQCD theories, and show that bad theories flow to the same interacting fixed points as good theories with additional free twisted hypermultiplets. A Seiberg-like duality proposed for bad theories with is ruled out: the spaces of vacua of the putative dual theories are different. However such bad theories have a distinguished vacuum, which preserves all the global symmetries, whose infrared physics is that of the proposed dual. We finally explain previous results on sphere partition functions and elucidate the relation between the UV and IR -symmetry in this symmetric vacuum.

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        Critical Behavior in (2+1)-Dimensional QED

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          Chiral-symmetry breaking in three-dimensional electrodynamics

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            Mirror Symmetry in Three Dimensional Gauge Theories

            We discuss non-trivial fixed points of the renormalization group with dual descriptions in \(N=4\) gauge theories in three dimensions. This new duality acts as mirror symmetry, exchanging the Higgs and Coulomb branches of the theories. Quantum effects on the Coulomb branch arise classically on the Higgs branch of the dual theory. We present examples of dual theories whose Higgs/Coulomb branch are the ALE spaces and whose Coulomb/Higgs branches are the moduli space of instantons of the corresponding \(ADE\) gauge group. In particular, we show that in three dimensions small \(E_8\) instantons in string theory are described by a local quantum field theory.
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              Author and article information

              Affiliations
              [1 ]European Organization for Nuclear Research
              [2 ]Durham University
              Journal
              SciPost Physics
              SciPost Phys.
              Stichting SciPost
              2542-4653
              2017
              September 28 2017
              : 3
              : 3
              10.21468/SciPostPhys.3.3.024
              © 2017

              This work is licensed under a Creative Commons Attribution 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

              Physics

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