Boundary holographic Witten diagrams

Karch, Andreas; Sato, Yoshiki

doi:10.1007/JHEP09(2017)121

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:

Karch, Andreas ^[1];

^[2]

Univ. of Washington, Seattle, WA (United States)
Univ. of Washington, Seattle, WA (United States); Univ. of Tokyo (Japan)

Publication Date:: Mon Sep 25 00:00:00 EDT 2017

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.

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                    Karch, Andreas, & Sato, Yoshiki. Boundary holographic Witten diagrams.  United States.  https://doi.org/10.1007/JHEP09(2017)121

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                    Karch, Andreas, and Sato, Yoshiki. Mon .  
"Boundary holographic Witten diagrams".  United States.  https://doi.org/10.1007/JHEP09(2017)121.  https://www.osti.gov/servlets/purl/1426868.

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@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         = {Mon Sep 25 00:00:00 EDT 2017},

  month        = {Mon Sep 25 00:00:00 EDT 2017}

}

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Works referenced in this record:

Defect conformal field theory and locally localized gravity
journal, July 2003

Aharony, Ofer; DeWolfe, Oliver; Freedman, Daniel Z.
Journal of High Energy Physics, Vol. 2003, Issue 07
DOI: 10.1088/1126-6708/2003/07/030

The bootstrap program for boundary CFT d
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Liendo, Pedro; Rastelli, Leonardo; van Rees, Balt C.
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Holographic Dual of a Boundary Conformal Field Theory
journal, August 2011

Takayanagi, Tadashi
Physical Review Letters, Vol. 107, Issue 10
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Anti de Sitter space and holography
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Witten, Edward
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Exact half-BPS type IIB interface solutions I: local solution and supersymmetric Janus
journal, June 2007

D'Hoker, Eric; Estes, John; Gutperle, Michael
Journal of High Energy Physics, Vol. 2007, Issue 06
DOI: 10.1088/1126-6708/2007/06/021

Mass and gauge invariance: Holography for the Karch-Randall model
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Porrati, M.
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McAvity, D. M.; Osborn, H.
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journal, June 2007

D'Hoker, Eric; Estes, John; Gutperle, Michael
Journal of High Energy Physics, Vol. 2007, Issue 06
DOI: 10.1088/1126-6708/2007/06/022

Modeling the fifth dimension with scalars and gravity
journal, July 2000

DeWolfe, O.; Freedman, D. Z.; Gubser, S. S.
Physical Review D, Vol. 62, Issue 4
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A stereoscopic look into the bulk
journal, July 2016

Czech, Bartlomiej; Lamprou, Lampros; McCandlish, Samuel
Journal of High Energy Physics, Vol. 2016, Issue 7
DOI: 10.1007/JHEP07(2016)129

A dilatonic deformation of AdS ₅ and its field theory dual
journal, May 2003

Bak, Dongsu; Gutperle, Michael; Hirano, Shinji
Journal of High Energy Physics, Vol. 2003, Issue 05
DOI: 10.1088/1126-6708/2003/05/072

Witten diagrams revisited: the AdS geometry of conformal blocks
journal, January 2016

Hijano, Eliot; Kraus, Per; Perlmutter, Eric
Journal of High Energy Physics, Vol. 2016, Issue 1
DOI: 10.1007/JHEP01(2016)146

Open and closed string interpretation of SUSY CFT's on branes with boundaries
journal, May 2001

Karch, Andreas; Randall, Lisa
Journal of High Energy Physics, Vol. 2001, Issue 06
DOI: 10.1088/1126-6708/2001/06/063

Integral geometry and holography
journal, October 2015

Czech, Bartłomiej; Lamprou, Lampros; McCandlish, Samuel
Journal of High Energy Physics, Vol. 2015, Issue 10
DOI: 10.1007/JHEP10(2015)175

Boundary kinematic space
journal, August 2017

Karch, Andreas; Sully, James; Uhlemann, Christoph F.
Journal of High Energy Physics, Vol. 2017, Issue 8
DOI: 10.1007/JHEP08(2017)039

Holography and defect conformal field theories
journal, July 2002

DeWolfe, Oliver; Freedman, Daniel Z.; Ooguri, Hirosi
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Gauge/Gravity Duality
book, May 2015

Ammon, Martin; Erdmenger, Johanna
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Locally localized gravity
journal, May 2001

Karch, Andreas; Randall, Lisa
Journal of High Energy Physics, Vol. 2001, Issue 05
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Works referencing / citing this record:

Fermions in geodesic Witten diagrams
journal, July 2018

Nishida, Mitsuhiro; Tamaoka, Kotaro
Journal of High Energy Physics, Vol. 2018, Issue 7
DOI: 10.1007/jhep07(2018)149

Fermions in Geodesic Witten Diagrams
text, January 2018

Nishida, Mitsuhiro; Tamaoka, Kotaro
arXiv
DOI: 10.48550/arxiv.1805.00217

An Analytic Approach to BCFT$_d$
text, January 2018

Mazáč, Dalimil; Rastelli, Leonardo; Zhou, Xinan
arXiv
DOI: 10.48550/arxiv.1812.09314

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Title: Boundary holographic Witten diagrams

Abstract

Citation Formats

Defect conformal field theory and locally localized gravity journal, July 2003

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The bootstrap program for boundary CFT d
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