One-loop structure of higher rank Wilson loops in AdS/CFT

Autor: Alberto Faraggi, James T. Liu, Leopoldo A. Pando Zayas, Guojun Zhang
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Physics Letters B, Vol 740, Iss , Pp 218-221 (2015)
Druh dokumentu: article
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2014.11.060
Popis: The half-supersymmetric Wilson loop in N=4 SYM is arguably the central non-local operator in the AdS/CFT correspondence. On the field theory side, the vacuum expectation values of Wilson loops in arbitrary representations of SU(N) are captured to all orders in perturbation theory by a Gaussian matrix model. Of prominent interest are the k-symmetric and k-antisymmetric representations, whose gravitational description is given in terms of D3- and D5-branes, respectively, with fluxes in their world volumes. At leading order in N and λ the agreement in both cases is exact. In this note we explore the structure of the next-to-leading order correction in the matrix model and compare it with existing string theory calculations. We find agreement in the functional dependence on k but a mismatch in the numerical coefficients.
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