Large N gauge theories with a dense spectrum and the weak gravity conjecture

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We find large N gauge theories containing a large number of operators within a band of low conformal dimensions. One of such examples is the four-dimensional N = 1 supersymmetric SU(N) gauge theory with one adjoint and a pair of fundamental/anti-fundamental chiral multiplets. This theory flows to a superconformal theory in the infrared upon a superpotential coupling with gauge singlets. The gap in the low-lying spectrum scales as 1/N and the central charges scale as O(N-1) contrary to the usual O(N-2) scaling of ordinary gauge theory coming from the matrix degree of freedom. We find the AdS version of the Weak Gravity Conjecture (WGC) holds for this theory, although it cannot be holographically dual to supergravity. This supports the validity of WGC in a more general theory of quantum gravity.
Publisher
SPRINGER
Issue Date
2021-05
Language
English
Article Type
Article
Citation

JOURNAL OF HIGH ENERGY PHYSICS, no.05

ISSN
1126-6708
DOI
10.1007/JHEP05(2021)124
URI
http://hdl.handle.net/10203/285601
Appears in Collection
PH-Journal Papers(저널논문)
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