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Fermionic correlators from integrability

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Autor(es):
Caetano, Joao ; Fleury, Thiago
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: Journal of High Energy Physics; v. N/A, n. 9, p. 27-pg., 2016-09-02.
Resumo

We study three-point functions of single-trace operators in the su (1 vertical bar 1) sector of planar N = 4 SYM borrowing several tools based on Integrability. In the most general configuration of operators in this sector, we have found a determinant expression for the tree-level structure constants. We then compare the predictions of the recently proposed hexagon program against all available data. We have obtained a match once additional sign factors are included when the two hexagon form-factors are assembled together to form the structure constants. In the particular case of one BPS and two non-BPS operators we managed to identify the relevant form-factors with a domain wall partition function of a certain six-vertex model. This partition function can be explicitly evaluated and factorizes at all loops. In addition, we use this result to compute the structure constants and show that at strong coupling in the so-called BMN regime, its leading order contribution has a determinant expression. (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