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

Abstract

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 work, we explore the structure of the next-to-leading order correction in the matrix model and compare with existing string theory calculations. We find agreement in the functional dependence on k but a mismatch in the numerical coefficients.

Authors:
 [1];  [2];  [2];  [3]
+ Show Author Affiliations
  1. Pontifical Catholic Univ. of Chile, Santiago (Chile). Inst. of Physics
  2. Univ. of Michigan, Ann Arbor, MI (United States). Michigan Center for Theoretical Physics
  3. Univ. of Science and Technology of China, Hefei (China). Dept. of Modern Physics
Publication Date:
Research Org.:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC); National Commission of Scientific and Technological Research (CONICYT) (Chile); Sao Paulo Research Foundation (FAPESP) (Brazil); Univ. of Sao Paulo (Brazil)
OSTI Identifier:
1198347
Alternate Identifier(s):
OSTI ID: 1454571
Grant/Contract Number:  
SC0007859; 821320022; 2012/03437-8
Resource Type:
Published Article
Journal Name:
Physics Letters. B
Additional Journal Information:
Journal Name: Physics Letters. B Journal Volume: 740 Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Faraggi, Alberto, Liu, James T., Pando Zayas, Leopoldo A., and Zhang, Guojun. One-loop structure of higher rank Wilson loops in AdS/CFT. Netherlands: N. p., 2014. Web. doi:10.1016/j.physletb.2014.11.060.
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Faraggi, Alberto, Liu, James T., Pando Zayas, Leopoldo A., & Zhang, Guojun. One-loop structure of higher rank Wilson loops in AdS/CFT. Netherlands. https://doi.org/10.1016/j.physletb.2014.11.060
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Faraggi, Alberto, Liu, James T., Pando Zayas, Leopoldo A., and Zhang, Guojun. Thu . "One-loop structure of higher rank Wilson loops in AdS/CFT". Netherlands. https://doi.org/10.1016/j.physletb.2014.11.060.
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@article{osti_1198347,
title = {One-loop structure of higher rank Wilson loops in AdS/CFT},
author = {Faraggi, Alberto and Liu, James T. and Pando Zayas, Leopoldo A. and Zhang, Guojun},
abstractNote = {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 work, we explore the structure of the next-to-leading order correction in the matrix model and compare with existing string theory calculations. We find agreement in the functional dependence on k but a mismatch in the numerical coefficients.},
doi = {10.1016/j.physletb.2014.11.060},
journal = {Physics Letters. B},
number = C,
volume = 740,
place = {Netherlands},
year = {Thu Dec 04 00:00:00 EST 2014},
month = {Thu Dec 04 00:00:00 EST 2014}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.physletb.2014.11.060
Copyright Statement
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Citation Metrics:
Cited by: 30 works
Citation information provided by
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Figures / Tables:

FIG. 1 FIG. 1: The contour of integration C for the $k$-symmetric representation, and its deformation into C′ and Cbranch.
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