Hexagonalization of correlation functions

Autor(es)

Fleury, Thiago ; Komatsu, Shota

• Tipo de documento: Artigo Científico
• Fonte: Journal of High Energy Physics; v. N/A, n. 1, p. 45-pg., 2017-01-30.

Resumo

We propose a nonperturbative framework to study general correlation functions of single-trace operators in N = 4 supersymmetric Yang-Mills theory at large N. The basic strategy is to decompose them into fundamental building blocks called the hexagon form factors, which were introduced earlier to study structure constants using integrability. The decomposition is akin to a triangulation of a Riemann surface, and we thus call it hexagonalization. We propose a set of rules to glue the hexagons together based on symmetry, which naturally incorporate the dependence on the conformal and the R-symmetry cross ratios. Our method is conceptually different from the conventional operator product expansion and automatically takes into account multi-trace operators exchanged in OPE channels. To illustrate the idea in simple set-ups, we compute four-point functions of BPS operators of arbitrary lengths and correlation functions of one Konishi operator and three short BPS operators, all at one loop. In all cases, the results are in perfect agreement with the perturbative data. We also suggest that our method can be a useful tool to study conformal integrals, and show it explicitly for the case of ladder integrals. (AU)

• Processo FAPESP: 15/01135-2 - Funções de correlação em acoplamento fraco em n=4 D=4 super-Yang-Mills
• Beneficiário: Thiago Simonetti Fleury
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado
• Processo FAPESP: 13/12416-7 - Supercordas em AdS e n=4 D=4 super-Yang-Mills
• Beneficiário: Thiago Simonetti Fleury
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado