Spinning hexagons

We reduce the computation of three point function of three spinning operators with arbitrary polarizations in N = 4 SYM to a statistical mechanics problem via the hexagon formalism. The central building block of these correlation functions is the hexagon partition function. We explore its analytic s...

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Detalles Bibliográficos
Autores: Bercini, Carlos [UNESP], Gonçalves, Vasco [UNESP], Homrich, Alexandre, Vieira, Pedro [UNESP]
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:Brasil
Institución:Universidade Estadual Paulista (UNESP)
Repositorio:Repositório Institucional da UNESP
Idioma:inglés
OAI Identifier:oai:repositorio.unesp.br:11449/247704
Acceso en línea:http://dx.doi.org/10.1007/JHEP09(2022)228
http://hdl.handle.net/11449/247704
Access Level:acceso abierto
Palabra clave:AdS-CFT Correspondence
Integrable Field Theories
Supersymmetric Gauge Theory
Descripción
Sumario:We reduce the computation of three point function of three spinning operators with arbitrary polarizations in N = 4 SYM to a statistical mechanics problem via the hexagon formalism. The central building block of these correlation functions is the hexagon partition function. We explore its analytic structure and use it to generate perturbative data for spinning three point functions. For certain polarizations and any coupling, we express the full asymptotic three point function in determinant form. With the integrability approach established we open the ground to study the large spin limit where dualities with null Wilson loops and integrable pentagons must appear.