A Small Deformation of a Simple Theory

Abstract

We study an interesting relevant deformation of the simplest interacting N=2 SCFT---the original Argyres-Douglas (AD) theory. We argue that, although this deformation is not strictly speaking Banks-Zaks like (certain operator dimensions change macroscopically), there are senses in which it constitutes a mild deformation of the parent AD theory: the exact change in the "a" anomaly is small and is essentially saturated at one loop. Moreover, contributions from IR operators that have a simple description in the UV theory reproduce a particular limit of the IR index to a remarkably high order. These results lead us to conclude that the IR theory is an interacting N=1 SCFT with particularly small "a" and "c" central charges and that this theory sheds some interesting light on the spectrum of its AD parent.

8 pages; v2: reference added, typos corrected, minor additional comments, results unchanged; v3: minor improvements, results unchanged

References in corpus (6)

• Conformal collider physics: Energy and charge correlations
• A holographic computation of the central charges of d=4, N=2 SCFTs
• Constraints on Chiral Operators in N=2 SCFTs
• Goldstinos, Supercurrents and Metastable SUSY Breaking in N=2 Supersymmetric Gauge Theories
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