期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 8, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP08(2019)162
关键词
1/N Expansion; AdS-CFT Correspondence; Integrable Field Theories; Supersymmetric Gauge Theory
资金
- Government of Canada through NSERC
- Province of Ontario through MRI
- Simons Foundation [488661]
We explain how the 't Hooft expansion of correlators of half-BPS operators can be resummed in a large-charge limit in N = 4 super Yang-Mills theory. The full correlator in the limit is given by a non-trivial function of two variables: One variable is the charge of the BPS operators divided by the square root of the number N-c of colors; the other variable is the octagon that contains all the 't Hooft coupling and spacetime dependence. At each genus g in the large N-c expansion, this function is a polynomial of degree 2g + 2 in the octagon. We find several dual matrix model representations of the correlators in the large-charge limit. Amusingly, the number of colors in these matrix models is formally taken to zero in the relevant limit.
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