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 decompositions of twopoint 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 bulktobulk 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 twopoint 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]};
^{[2]}
 Univ. of Washington, Seattle, WA (United States)
 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 10298479
 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 decompositions of twopoint 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 bulktobulk 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 twopoint 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}
}