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

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:
Grant/Contract Number:
SC0013699; PHY-1620542; PHY11-25915; 290456; ST/L00044X/1; 14-42-00047
Type:
Published Article
Journal Name:
Nuclear Physics. B
Additional Journal Information:
Journal Volume: 922; Journal Issue: C; Journal ID: ISSN 0550-3213
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