Octagons I: combinatorics and non-planar resummations
Nenhuma Miniatura disponível
Data
2019-08-01
Autores
Bargheer, Till
Coronado, Frank [UNESP]
Vieira, Pedro [UNESP]
Título da Revista
ISSN da Revista
Título de Volume
Editor
Resumo
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 Nc 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 Nc 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.
Descrição
Palavras-chave
1/N Expansion, AdS-CFT Correspondence, Integrable Field Theories, Supersymmetric Gauge Theory
Como citar
Journal of High Energy Physics, v. 2019, n. 8, 2019.