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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Fermionic correlators from integrability

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Caetano, Joao ; Fleury, Thiago
Total Authors: 2
Document type: Journal article
Source: Journal of High Energy Physics; n. 9 SEP 2 2016.
Web of Science Citations: 6

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)

FAPESP's process: 13/12416-7 - Superstrings in ADs and n=4 D=4 super-Yang-Mills
Grantee:Thiago Simonetti Fleury
Support type: Scholarships in Brazil - Post-Doctorate
FAPESP's process: 15/01135-2 - Correlation functions at weak coupling in n=4 D=4 super-Yang-Mills
Grantee:Thiago Simonetti Fleury
Support type: Scholarships abroad - Research Internship - Post-doctor