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

Assel, Benjamin and Cremonesi, Stefano (2018) 'The infrared fixed points of 3d N = 4 USp(2N) SQCD theories.', SciPost physics., 5 (2). 015.


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.

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Publisher statement:Copyright B. Assel and S. Cremonesi. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation.
Date accepted:16 July 2018
Date deposited:16 August 2018
Date of first online publication:14 August 2018
Date first made open access:No date available

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