#### Curious aspects of three-dimensional \( \mathcal{N}=1 \) SCFTs

Journal of High Energy Physics
August 2018, 2018:4 | Cite as
Curious aspects of three-dimensional \( \mathcal{N}=1 \) SCFTs
AuthorsAuthors and affiliations
Davide GaiottoZohar KomargodskiJingxiang Wu
Open Access
Regular Article - Theoretical Physics
First Online: 02 August 2018
Received: 13 June 2018
Accepted: 21 July 2018
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Abstract
We study the dynamics of certain 3d \( \mathcal{N}=1 \) time reversal invariant theories. Such theories often have exact moduli spaces of supersymmetric vacua. We propose several dualities and we test these proposals by comparing the deformations and supersymmetric ground states. First, we consider a theory where time reversal symmetry is only emergent in the infrared and there exists (nonetheless) an exact moduli space of vacua. This theory has a dual description with manifest time reversal symmetry. Second, we consider some surprising facts about \( \mathcal{N}=2 \) U(1) gauge theory coupled to two chiral superfields of charge 1. This theory is claimed to have emergent SU(3) global symmetry in the infrared. We propose a dual Wess-Zumino description (i.e. a theory of scalars and fermions but no gauge fields) with manifest SU(3) symmetry but only \( \mathcal{N}=1 \) supersymmetry. We argue that this Wess-Zumino model must have enhanced supersymmetry in the infrared. Finally, we make some brief comments about the dynamics of \( \mathcal{N}=1 \) SU(N) gauge theory coupled to Nf quarks in a time reversal invariant fashion. We argue that for Nf < N there is a moduli space of vacua to all orders in perturbation theory but it is non-perturbatively lifted.
Keywords Duality in Gauge Field Theories Nonperturbative Effects Supersymmetric Gauge Theory Supersymmetry and Duality
ArXiv ePrint: 1804.02018
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Copyright information
© The Author(s) 2018
Authors and Affiliations
Davide Gaiotto1Zohar Komargodski23Jingxiang Wu1Email authorView author's OrcID profile1.Perimeter Institute for Theoretical PhysicsWaterlooCanada2.Department of Particle Physics and AstrophysicsWeizmann Institute of ScienceRehovotIsrael3.Simons Center for Geometry and PhysicsStony Brook UniversityStony BrookU.S.A.