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Title: Boundary holographic Witten diagrams

Abstract

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 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:
Research Org.:
Univ. of Washington, Seattle, WA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1426868
Alternate Identifier(s):
OSTI ID: 1595208
Grant/Contract Number:  
SC0011637
Resource 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
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Karch, Andreas, and Sato, Yoshiki. Boundary holographic Witten diagrams. United States: N. p., 2017. Web. doi:10.1007/JHEP09(2017)121.
Karch, Andreas, & Sato, Yoshiki. Boundary holographic Witten diagrams. United States. doi:https://doi.org/10.1007/JHEP09(2017)121
Karch, Andreas, and Sato, Yoshiki. Mon . "Boundary holographic Witten diagrams". United States. doi:https://doi.org/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 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}
}

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Cited by: 4 works
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Works referenced in this record:

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    Works referencing / citing this record:

    An analytic approach to BCFTd
    journal, December 2019

    • Mazáč, Dalimil; Rastelli, Leonardo; Zhou, Xinan
    • Journal of High Energy Physics, Vol. 2019, Issue 12
    • DOI: 10.1007/jhep12(2019)004