Global symmetries and \mathcal{N}=2 SUSYReport as inadecuate

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Letters in Mathematical Physics

, Volume 107, Issue 8, pp 1545–1556

First Online: 13 March 2017Received: 09 October 2015Revised: 01 February 2017Accepted: 20 February 2017


We prove that \\mathcal{N}=2\ theories that arise by taking n free hypermultiplets and gauging a subgroup of \{\text {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 \{\text {SU}}N\ but not \{\text {U}}N\ global symmetries, such as Gaiotto’s \T N\ theories, are not likely to arise as IR fixed points of RG flows from weakly coupled \{\mathcal{N}=2}\ gauge theories.

KeywordsSupersymmetric super Yang–Mills theory Quantum field theory Representations of Lie algebras Symmetry breaking Mathematics Subject Classification81T60 Supersymmetric field theories 81T13 Yang–Mills and other gauge theories  Download fulltext PDF

Author: Jock McOrist - Ilarion V. Melnikov - Brian Wecht


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