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Curious aspects of three-dimensional N=1 SCFTs

Abstract:
We study the dynamics of certain 3d 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 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 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 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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/JHEP08(2018)004

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0001-6867-1407


Publisher:
Springer
Journal:
Journal of High Energy Physics More from this journal
Volume:
2018
Issue:
8
Article number:
4
Publication date:
2018-08-02
Acceptance date:
2018-07-21
DOI:
EISSN:
1029-8479
ISSN:
1126-6708


Language:
English
Keywords:
Pubs id:
1189949
Local pid:
pubs:1189949
Deposit date:
2021-08-21
ARK identifier:

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