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Title: Half-BPS Wilson loop and AdS 2/CFT 1

Abstract

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 AdS 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.

Authors:
 [1];  [2];  [3]
  1. Princeton Univ., NJ (United States). Dept. of Physics
  2. Pennsylvania State Univ., University Park, PA (United States). Dept of Physics
  3. Imperial College, London (United Kingdom). Blackett Lab.; Lebedev Inst., Moscow (Russia)
Publication Date:
Research Org.:
Pennsylvania State Univ., University Park, PA (United States)
Sponsoring Org.:
USDOE; Univ. of California, Santa Barbara, CA (United States); National Science Foundation (NSF); European Research Council (ERC); Russian Science Foundation
OSTI Identifier:
1372706
Alternate Identifier(s):
OSTI ID: 1425733
Grant/Contract Number:  
SC0013699; PHY-1620542; PHY11-25915; 290456; ST/L00044X/1; 14-42-00047
Resource Type:
Journal Article: Published Article
Journal Name:
Nuclear Physics. B
Additional Journal Information:
Journal Volume: 922; Journal Issue: C; Journal ID: ISSN 0550-3213
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 42 ENGINEERING

Citation Formats

Giombi, Simone, Roiban, Radu, and Tseytlin, Arkady A. Half-BPS Wilson loop and AdS2/CFT1. United States: N. p., 2017. Web. doi:10.1016/j.nuclphysb.2017.07.004.
Giombi, Simone, Roiban, Radu, & Tseytlin, Arkady A. Half-BPS Wilson loop and AdS2/CFT1. United States. doi:10.1016/j.nuclphysb.2017.07.004.
Giombi, Simone, Roiban, Radu, and Tseytlin, Arkady A. Fri . "Half-BPS Wilson loop and AdS2/CFT1". United States. doi:10.1016/j.nuclphysb.2017.07.004.
@article{osti_1372706,
title = {Half-BPS Wilson loop and AdS2/CFT1},
author = {Giombi, Simone and Roiban, Radu and Tseytlin, Arkady A.},
abstractNote = {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 CFT1 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 AdS5×S5 ending on the line at the boundary and can be thought of as light fields propagating on the AdS2 worldsheet. We use AdS/CFT techniques to compute the tree-level AdS2 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.},
doi = {10.1016/j.nuclphysb.2017.07.004},
journal = {Nuclear Physics. B},
number = C,
volume = 922,
place = {United States},
year = {Fri Sep 01 00:00:00 EDT 2017},
month = {Fri Sep 01 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.nuclphysb.2017.07.004

Citation Metrics:
Cited by: 13 works
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