Octagons I: combinatorics and non-planar resummations

• Autor(a) principal: Bargheer, Till
• Data de Publicação: 2019
• Outros Autores: Coronado, Frank [UNESP], Vieira, Pedro [UNESP]
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1007/JHEP08(2019)162; http://hdl.handle.net/11449/189592
• topic: 1/N Expansion; AdS-CFT Correspondence; Integrable Field Theories; Supersymmetric Gauge Theory

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.