HalfBPS Wilson loop and AdS _{2}/CFT _{1}
Here, we study correlation functions of local operator insertions on the 1/2BPS Wilson line in N=4 super Yang–Mills theory. These correlation functions are constrained by the 1d superconformal symmetry preserved by the 1/2BPS 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 treelevel AdS _{2} Witten diagrams describing the strong coupling limit of the fourpoint functions of the dual operator insertions. Using the OPE, we also extract the leading strong coupling corrections to the anomalous dimensions of the “twoparticle” operators built out of elementary excitations. In the case of the circular Wilson loop, we match our results for the 4point functions of a special type of scalar insertions to the prediction of localization to 2d Yang–Mills theory.
 Authors:

^{[1]};
^{[2]};
^{[3]}
 Princeton Univ., NJ (United States). Dept. of Physics
 Pennsylvania State Univ., University Park, PA (United States). Dept of Physics
 Imperial College, London (United Kingdom). Blackett Lab.; Lebedev Inst., Moscow (Russia)
 Publication Date:
 Grant/Contract Number:
 SC0013699; PHY1620542; PHY1125915; 290456; ST/L00044X/1; 144200047
 Type:
 Published Article
 Journal Name:
 Nuclear Physics. B
 Additional Journal Information:
 Journal Volume: 922; Journal Issue: C; Journal ID: ISSN 05503213
 Publisher:
 Elsevier
 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
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 42 ENGINEERING
 OSTI Identifier:
 1372706
 Alternate Identifier(s):
 OSTI ID: 1425733
Giombi, Simone, Roiban, Radu, and Tseytlin, Arkady A. HalfBPS Wilson loop and AdS2/CFT1. United States: N. p.,
Web. doi:10.1016/j.nuclphysb.2017.07.004.
Giombi, Simone, Roiban, Radu, & Tseytlin, Arkady A. HalfBPS Wilson loop and AdS2/CFT1. United States. doi:10.1016/j.nuclphysb.2017.07.004.
Giombi, Simone, Roiban, Radu, and Tseytlin, Arkady A. 2017.
"HalfBPS Wilson loop and AdS2/CFT1". United States.
doi:10.1016/j.nuclphysb.2017.07.004.
@article{osti_1372706,
title = {HalfBPS 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 1/2BPS Wilson line in N=4 super Yang–Mills theory. These correlation functions are constrained by the 1d superconformal symmetry preserved by the 1/2BPS 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 treelevel AdS2 Witten diagrams describing the strong coupling limit of the fourpoint functions of the dual operator insertions. Using the OPE, we also extract the leading strong coupling corrections to the anomalous dimensions of the “twoparticle” operators built out of elementary excitations. In the case of the circular Wilson loop, we match our results for the 4point 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 = {2017},
month = {9}
}