Infrared enhancement of supersymmetry in four dimensions

Abstract

We study a recently-found class of RG flows in four dimensions exhibiting enhancement of supersymmetry in the infrared, which provides a lagrangian description of several strongly-coupled N=2 SCFTs. The procedure involves starting from a N=2 SCFT, coupling a chiral multiplet in the adjoint representation of the global symmetry to the moment map of the SCFT and turning on a nilpotent expectation value for this chiral. In this note we show that, combining considerations based on 't Hooft anomaly matching and basic results about the N=2 superconformal algebra, it is possible to understand in detail the mechanism underlying this phenomenon and formulate a simple criterion for supersymmetry enhancement which allows us to bypass the analysis with a-maximization. As a byproduct, we propose an algorithm to identify a lagrangian UV completion of a given N=2 SCFT under an RG flow of this type, provided there is one.

24 pages, references added

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Cited by in corpus (17)

• New aspects of Argyres--Douglas theories and their dimensional reduction
• A slow review of the AGT correspondence
• A tale of exceptional 3d dualities
• Supersymmetric Indices of 3d S-fold SCFTs
• SUSY enhancement from T-branes
• Argyres-Douglas theories and Liouville Irregular States
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• OPE Selection Rules for Schur Multiplets in 4D $\mathcal{N}=2$ Superconformal Field Theories
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• 3D Dualities and Supersymmetry Enhancement from Domain Walls
• Lectures on 4d N=1 dynamics and related topics
• No go for a flow
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• The Geometry of SUSY Enhancement
• Notes on $\mathcal{N}=1$ QCD${}_3$ with baryon superpotential
• Soft supersymmetry breaking of 4d $\mathcal{N}=2$ SCFT