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Title: Giant Wilson loops and AdS2/dCFT1

Abstract

The 1/2-BPS Wilson loop in N = 4 supersymmetric Yang-Mills theory is an important and well-studied example of conformal defect. In particular, much work has been done for the correlation functions of operator insertions on the Wilson loop in the fundamental representation. In this paper, we extend such analyses to Wilson loops in the large-rank symmetric and antisymmetric representations, which correspond to probe D3 and D5 branes with AdS2 × S2 and AdS2 × S4 worldvolume geometries, ending at the AdS5 boundary along a one-dimensional contour. We first compute the correlation functions of protected scalar insertions from supersymmetric localization, and obtain a representation in terms of multiple integrals that are similar to the eigenvalue integrals of the random matrix, but with important differences. Using ideas from the Fermi Gas formalism and the Clustering method, we evaluate their large N limit exactly as a function of the ’t Hooft coupling. The results are given by simple integrals of polynomials that resemble the Q-functions of the Quantum Spectral Curve, with integration measures depending on the number of insertions. Next, we study the correlation functions of fluctuations on the probe D3 and D5 branes in AdS. We compute a selection of three- andmore » four-point functions from perturbation theory on the D-branes, and show that they agree with the results of localization when restricted to supersymmetric kinematics. We also explain how the difference of the internal geometries of the D3 and D5 branes manifests itself in the localization computation.« less

Authors:
 [1];  [1];  [2]
  1. Princeton Univ., NJ (United States)
  2. Inst. for Advanced Study, Princeton, NJ (United States)
Publication Date:
Research Org.:
Institute for Advanced Study, Princeton, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC); National Science Foundation (NSF)
OSTI Identifier:
1737767
Grant/Contract Number:  
SC0009988; PHY-1620542; PHY-1914860
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 11; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT Correspondence; Conformal Field Theory; D-branes; Field Theories in Higher Dimensions

Citation Formats

Giombi, Simone, Jiang, Jiaqi, and Komatsu, Shota. Giant Wilson loops and AdS2/dCFT1. United States: N. p., 2020. Web. https://doi.org/10.1007/jhep11(2020)064.
Giombi, Simone, Jiang, Jiaqi, & Komatsu, Shota. Giant Wilson loops and AdS2/dCFT1. United States. https://doi.org/10.1007/jhep11(2020)064
Giombi, Simone, Jiang, Jiaqi, and Komatsu, Shota. Fri . "Giant Wilson loops and AdS2/dCFT1". United States. https://doi.org/10.1007/jhep11(2020)064. https://www.osti.gov/servlets/purl/1737767.
@article{osti_1737767,
title = {Giant Wilson loops and AdS2/dCFT1},
author = {Giombi, Simone and Jiang, Jiaqi and Komatsu, Shota},
abstractNote = {The 1/2-BPS Wilson loop in N = 4 supersymmetric Yang-Mills theory is an important and well-studied example of conformal defect. In particular, much work has been done for the correlation functions of operator insertions on the Wilson loop in the fundamental representation. In this paper, we extend such analyses to Wilson loops in the large-rank symmetric and antisymmetric representations, which correspond to probe D3 and D5 branes with AdS2 × S2 and AdS2 × S4 worldvolume geometries, ending at the AdS5 boundary along a one-dimensional contour. We first compute the correlation functions of protected scalar insertions from supersymmetric localization, and obtain a representation in terms of multiple integrals that are similar to the eigenvalue integrals of the random matrix, but with important differences. Using ideas from the Fermi Gas formalism and the Clustering method, we evaluate their large N limit exactly as a function of the ’t Hooft coupling. The results are given by simple integrals of polynomials that resemble the Q-functions of the Quantum Spectral Curve, with integration measures depending on the number of insertions. Next, we study the correlation functions of fluctuations on the probe D3 and D5 branes in AdS. We compute a selection of three- and four-point functions from perturbation theory on the D-branes, and show that they agree with the results of localization when restricted to supersymmetric kinematics. We also explain how the difference of the internal geometries of the D3 and D5 branes manifests itself in the localization computation.},
doi = {10.1007/jhep11(2020)064},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2020,
place = {United States},
year = {2020},
month = {11}
}

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