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The infrared fixed points of 3d N = 4 USp(2N) SQCD theories

Assel, Benjamin; Cremonesi, Stefano

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Authors

Benjamin Assel



Abstract

We derive the algebraic description of the Coulomb branch of 3d N = 4 U S p ( 2 N ) SQCD theories with N f fundamental hypermultiplets and determine their low energy physics in any vacuum from the local geometry of the moduli space, identifying the interacting SCFTs which arise at singularities and possible extra free sectors. The SCFT with the largest moduli space arises at the most singular locus on the Coulomb branch. For N f > 2 N (good theories) it sits at the origin of the conical variety as expected. For N f = 2 N we find two separate most singular points, from which the two isomorphic components of the Higgs branch of the UV theory emanate. The SCFTs sitting at any of these two vacua have only odd dimensional Coulomb branch generators, which transform under an accidental S U ( 2 ) global symmetry. We provide a direct derivation of their moduli spaces of vacua, and propose a Lagrangian mirror theory for these fixed points. For 2 ≤ N f < 2 N the most singular locus has one or two extended components, for N f odd or even, and the low energy theory involves an interacting SCFT of one of the above types, plus free twisted hypermultiplets. For N f = 0 , 1 the Coulomb branch is smooth. We complete our analysis by studying the low energy theory at the symmetric vacuum of theories with N < N f ≤ 2 N , which exhibits a local Seiberg-like duality.

Citation

Assel, B., & Cremonesi, S. (2018). The infrared fixed points of 3d N = 4 USp(2N) SQCD theories. SciPost Physics, 5(2), Article 015. https://doi.org/10.21468/scipostphys.5.2.015

Journal Article Type Article
Acceptance Date Jul 16, 2018
Online Publication Date Aug 14, 2018
Publication Date Aug 14, 2018
Deposit Date Feb 19, 2018
Publicly Available Date Aug 16, 2018
Journal SciPost Physics.
Print ISSN 2542-4653
Electronic ISSN 2542-4653
Publisher SciPost
Peer Reviewed Peer Reviewed
Volume 5
Issue 2
Article Number 015
DOI https://doi.org/10.21468/scipostphys.5.2.015
Public URL https://durham-repository.worktribe.com/output/1366231
Publisher URL https://scipost.org/SciPostPhys.5.2.015
Related Public URLs https://arxiv.org/abs/1802.04285

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