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Title: Boundary holographic Witten diagrams

In this paper we discuss geodesic Witten diagrams in generic holographic conformal field theories with boundary or defect. Boundary CFTs allow two different de-compositions of two-point functions into conformal blocks: boundary channel and ambient channel. Building on earlier work, we derive a holographic dual of the boundary channel decomposition in terms of bulk-to-bulk propagators on lower dimensional AdS slices. In the situation in which we can treat the boundary or defect as a perturbation around pure AdS spacetime, we obtain the leading corrections to the two-point function both in boundary and ambient channel in terms of geodesic Witten diagrams which exactly reproduce the decomposition into corresponding conformal blocks on the field theory side.
Authors:
 [1] ; ORCiD logo [2]
  1. Univ. of Washington, Seattle, WA (United States)
  2. Univ. of Washington, Seattle, WA (United States); Univ. of Tokyo (Japan)
Publication Date:
Grant/Contract Number:
SC0011637
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 9; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Univ. of Washington, Seattle, WA (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
OSTI Identifier:
1426868

Karch, Andreas, and Sato, Yoshiki. Boundary holographic Witten diagrams. United States: N. p., Web. doi:10.1007/JHEP09(2017)121.
Karch, Andreas, & Sato, Yoshiki. Boundary holographic Witten diagrams. United States. doi:10.1007/JHEP09(2017)121.
Karch, Andreas, and Sato, Yoshiki. 2017. "Boundary holographic Witten diagrams". United States. doi:10.1007/JHEP09(2017)121. https://www.osti.gov/servlets/purl/1426868.
@article{osti_1426868,
title = {Boundary holographic Witten diagrams},
author = {Karch, Andreas and Sato, Yoshiki},
abstractNote = {In this paper we discuss geodesic Witten diagrams in generic holographic conformal field theories with boundary or defect. Boundary CFTs allow two different de-compositions of two-point functions into conformal blocks: boundary channel and ambient channel. Building on earlier work, we derive a holographic dual of the boundary channel decomposition in terms of bulk-to-bulk propagators on lower dimensional AdS slices. In the situation in which we can treat the boundary or defect as a perturbation around pure AdS spacetime, we obtain the leading corrections to the two-point function both in boundary and ambient channel in terms of geodesic Witten diagrams which exactly reproduce the decomposition into corresponding conformal blocks on the field theory side.},
doi = {10.1007/JHEP09(2017)121},
journal = {Journal of High Energy Physics (Online)},
number = 9,
volume = 2017,
place = {United States},
year = {2017},
month = {9}
}