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High Energy Physics - Theory

arXiv:1808.00592 (hep-th)
[Submitted on 1 Aug 2018 (v1), last revised 21 Aug 2018 (this version, v2)]

Title:Infrared enhancement of supersymmetry in four dimensions

Authors:Simone Giacomelli
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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.
Comments: 24 pages, references added
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:1808.00592 [hep-th]
  (or arXiv:1808.00592v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1808.00592
Related DOI: https://doi.org/10.1007/JHEP10%282018%29041

Submission history

From: Simone Giacomelli [view email]
[v1] Wed, 1 Aug 2018 22:51:30 UTC (23 KB)
[v2] Tue, 21 Aug 2018 14:19:45 UTC (23 KB)
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