TY - JOUR

T1 - One-loop structure of higher rank Wilson loops in AdS/CFT

AU - Faraggi, Alberto

AU - Liu, James T.

AU - Pando Zayas, Leopoldo A.

AU - Zhang, Guojun

N1 - Funding Information:
This work is partially supported by U.S. Department of Energy under grant DE-SC0007859 . A.F. is supported by CONICYT/PAI Apoyo al Retorno 821320022 . He gratefully acknowledges the support given by FAPESP Número do Processo 2012/03437-8 as well as his host institution, Universidade de São Paulo, during his stay in Brazil. Special thanks to Diego Trancanelli.

PY - 2015/1/5

Y1 - 2015/1/5

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84916200523&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2014.11.060

DO - 10.1016/j.physletb.2014.11.060

M3 - Article

AN - SCOPUS:84916200523

VL - 740

SP - 218

EP - 221

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

ER -