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

Authors:
; ; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1198347
Grant/Contract Number:
SC0007859; 821320022
Resource Type:
Journal Article: Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 740; Journal Issue: C; Related Information: CHORUS Timestamp: 2018-04-17 00:19:28; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English

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., 2015. Web. doi:10.1016/j.physletb.2014.11.060.
Faraggi, Alberto, Liu, James T., Pando Zayas, Leopoldo A., & Zhang, Guojun. One-loop structure of higher rank Wilson loops in AdS/CFT. Netherlands. doi:10.1016/j.physletb.2014.11.060.
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. doi:10.1016/j.physletb.2014.11.060.
@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 = {},
doi = {10.1016/j.physletb.2014.11.060},
journal = {Physics Letters. Section B},
number = C,
volume = 740,
place = {Netherlands},
year = {Thu Jan 01 00:00:00 EST 2015},
month = {Thu Jan 01 00:00:00 EST 2015}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.physletb.2014.11.060

Citation Metrics:
Cited by: 17works
Citation information provided by
Web of Science

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  • We study the supersymmetric Wilson loops in the four-dimensional N=4 super Yang-Mills theory in the context of AdS/CFT correspondence. In the gauge theory side, it is known that the expectation value of the Wilson loops of circular shape with winding number k, W{sub k}(C), is calculable by using a Gaussian matrix model. In the gravity side, the expectation value of the loop is conjectured to be given by the classical value of the action S{sub D3} for a probe D3-brane with k electric fluxes as <W{sub k}(C)>=e{sup -S{sub D3}}. Given such correspondence, we pursue the interpretation of the matrix modelmore » eigenvalue density, or more precisely the resolvent, from the viewpoint of the probe D3-brane. We see that the position of an eigenvalue appears as the gauge field plus the scalar field integrated over the boundary of the probe D3-brane. In the course of our analysis, we also clarify the boundary condition on the D3-brane in terms of the Wilson loop.« less
  • Here, we study correlation functions of local operator insertions on the 1/2-BPS Wilson line in N=4 super Yang–Mills theory. These correlation functions are constrained by the 1d superconformal symmetry pre-served by the 1/2-BPS Wilson line and define a defect CFT 1 living on the line. At strong coupling, a set of elementary operator insertions with protected scaling dimensions correspond to fluctuations of the dual fundamental string in AdS 5×S 5 ending on the line at the boundary and can be thought of as light fields propagating on the AdS 2 worldsheet. We use AdS/CFT techniques to compute the tree-level AdSmore » 2 Witten diagrams describing the strong coupling limit of the four-point functions of the dual operator insertions. Using the OPE, we also extract the leading strong coupling corrections to the anomalous dimensions of the “two-particle” operators built out of elementary excitations. In the case of the circular Wilson loop, we match our results for the 4-point functions of a special type of scalar insertions to the prediction of localization to 2d Yang–Mills theory.« less
  • Here, we study correlation functions of local operator insertions on the 1/2-BPS Wilson line in N=4 super Yang–Mills theory. These correlation functions are constrained by the 1d superconformal symmetry pre-served by the 1/2-BPS Wilson line and define a defect CFT 1 living on the line. At strong coupling, a set of elementary operator insertions with protected scaling dimensions correspond to fluctuations of the dual fundamental string in AdS 5×S 5 ending on the line at the boundary and can be thought of as light fields propagating on the AdS 2 worldsheet. We use AdS/CFT techniques to compute the tree-level AdSmore » 2 Witten diagrams describing the strong coupling limit of the four-point functions of the dual operator insertions. Using the OPE, we also extract the leading strong coupling corrections to the anomalous dimensions of the “two-particle” operators built out of elementary excitations. In the case of the circular Wilson loop, we match our results for the 4-point functions of a special type of scalar insertions to the prediction of localization to 2d Yang–Mills theory.« less
  • We compute the vacuum expectation values of 1/6 supersymmetric Wilson loops in higher dimensional representations of the gauge group in ABJM theory. We then present results for the m-symmetric and m-antisymmetric representations by exploiting standard matrix model techniques. At leading order, in the saddle point approximation, our expressions reproduce holographic results from both D6 and D2 branes corresponding to the antisymmetric and symmetric representations, respectively. We also compute 1/N corrections to the leading saddle point results.
  • Using the counterterm subtraction technique we calculate the stress-energy tensor, action, and other physical quantities for Kerr-AdS black holes in various dimensions. For Kerr-AdS{sub 5} black holes with both rotation parameters nonzero, we demonstrate that the stress-energy tensor, in the zero mass parameter limit, is equal to the stress tensor of the weakly coupled four dimensional dual field theory. As a result, the total energy of the general Kerr-AdS{sub 5} black hole at zero mass parameter exactly matches the Casimir energy of the dual field theory. We show that at high temperature the general Kerr-AdS{sub 5} and perturbative field theorymore » stress-energy tensors are equal, up to the usual factor of 3/4. We also use the counterterm technique to calculate the stress tensors and actions for Kerr-AdS{sub 6} and Kerr-AdS{sub 7} black holes, with one rotation parameter, and we display the results. We discuss the conformal anomalies of the dual field theories to the Kerr-AdS{sub 5} and Kerr-AdS{sub 7} spacetimes. In these two field theories, we show that the rotation parameters break conformal invariance but not scale invariance, a novel result for a nontrivial field theory. For Kerr-AdS{sub 7} black holes the conformal anomalies calculated on the gravity side and the dual (0,2) tensor multiplet theory are equal up to a factor of 4/7x4N{sup 3}. We expect that the Casimir energy of the free field theory is the same as the energy of the Kerr-AdS{sub 7} black hole (with zero mass parameter), up to that factor.« less