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Global Symmetries and N=2 SUSY

McOrist, Jock, Melnikov, IV and Wecht, B (2017) Global Symmetries and N=2 SUSY Letters in Mathematical Physics. pp. 1-12.

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We prove that N = 2 theories that arise by taking n free hypermultiplets and gauging a subgroup of Sp(n), the non-R global symmetry of the free theory, have a remaining global symmetry which is a direct sum of unitary, symplectic, and special orthogonal factors. This implies that theories that have SU(N) but not U(N) global symmetries, such as Gaiotto's TN theories, are not likely to arise as IR xed points of RG ows from weakly coupled N = 2 gauge theories.

Item Type: Article
Subjects : Mathematics
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Melnikov, IV
Wecht, B
Date : 13 March 2017
DOI : 10.1007/s11005-017-0952-0
Copyright Disclaimer : © The Author(s) 2017. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Uncontrolled Keywords : supersymmetric super Yang-Mills theory, quantum eld theory, representations of Lie algebras, symmetry breaking.
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 01 Mar 2017 15:32
Last Modified : 16 Jan 2019 17:12

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