Classification of large N superconformal gauge theories with a dense spectrum

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We classify the large N limits of four-dimensional supersymmetric gauge theories with simple gauge groups that flow to superconformal fixed points. We restrict ourselves to the ones without a superpotential and with a fixed flavor symmetry. We find 35 classes in total, with 8 having a dense spectrum of chiral gauge-invariant operators. The central charges a and c for the dense theories grow linearly in N in contrast to the N-2 growth for the theories with a sparse spectrum. The difference between the central charges a - c can have both signs, and it does not vanish in the large N limit for the dense theories. We find that there can be multiple bands separated by a gap, or a discrete spectrum above the band. We also find a criterion on the matter content for the fixed point theory to possess either a dense or sparse spectrum. We discover a few curious aspects regarding supersymmetric RG flows and a-maximization along the way. For all the theories with the dense spectrum, the AdS version of the Weak Gravity Conjecture (including the convex hull condition for the cases with multiple U(1)'s) holds for large enough N even though they do not have weakly-coupled gravity duals.
Publisher
SPRINGER
Issue Date
2021-10
Language
English
Article Type
Article
Citation

JOURNAL OF HIGH ENERGY PHYSICS, no.10

ISSN
1126-6708
DOI
10.1007/JHEP10(2021)049
URI
http://hdl.handle.net/10203/288464
Appears in Collection
PH-Journal Papers(저널논문)
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