AdS maps and diagrams of bi-local holography

de Mello Koch, Robert; Jevicki, Antal; Suzuki, Kenta; Yoon, Junggi

doi:10.1007/JHEP03(2019)133

Title: AdS maps and diagrams of bi-local holography

Abstract

We present in detail the basic ingredients contained in bi-local holography, representing a constructive scheme for reconstructing AdS bulk theories in Vectorial/AdS duality. Explicit Mapping to bulk AdS and higher spin fields is seen to be given by a double Fourier transform. All order interactions are explicitly specified through the collective action. This generates bulk Feynman (Witten) diagrams (at tree and loop level). We give details of the four-point case evaluation. It is noted that the bi-local construction goes beyond the assumptions in various discussions of non-locality.

Authors:

de Mello Koch, Robert ^[1]; Jevicki, Antal ^[2]; Suzuki, Kenta ^[3]; Yoon, Junggi ^[4]

South China Normal Univ., Guangzhou (China); Univ. of the Witwatersrand, Johannesburg (South Africa)
Brown Univ., Providence, RI (United States)
Brown Univ., Providence, RI (United States); Ecole Polytechnique, Palaiseau (France)
Korea Inst. for Advanced Study, Seoul (Korea)

Publication Date:: Fri Mar 22 00:00:00 EDT 2019

Research Org.:: Brown Univ., Providence, RI (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1596976

Grant/Contract Number:: SC0010010

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: 2019; Journal Issue: 3; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 1/N Expansion; AdS-CFT Correspondence; Conformal Field Theory; Higher Spin Symmetry

Citation Formats


                    de Mello Koch, Robert, Jevicki, Antal, Suzuki, Kenta, and Yoon, Junggi. AdS maps and diagrams of bi-local holography.  United States: N. p., 2019. 
Web.  doi:10.1007/JHEP03(2019)133.

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                    de Mello Koch, Robert, Jevicki, Antal, Suzuki, Kenta, & Yoon, Junggi. AdS maps and diagrams of bi-local holography.  United States.  https://doi.org/10.1007/JHEP03(2019)133

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                    de Mello Koch, Robert, Jevicki, Antal, Suzuki, Kenta, and Yoon, Junggi. Fri .  
"AdS maps and diagrams of bi-local holography".  United States.  https://doi.org/10.1007/JHEP03(2019)133.  https://www.osti.gov/servlets/purl/1596976.

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@article{osti_1596976,

  title        = {AdS maps and diagrams of bi-local holography},

  author       = {de Mello Koch, Robert and Jevicki, Antal and Suzuki, Kenta and Yoon, Junggi},

  abstractNote = {We present in detail the basic ingredients contained in bi-local holography, representing a constructive scheme for reconstructing AdS bulk theories in Vectorial/AdS duality. Explicit Mapping to bulk AdS and higher spin fields is seen to be given by a double Fourier transform. All order interactions are explicitly specified through the collective action. This generates bulk Feynman (Witten) diagrams (at tree and loop level). We give details of the four-point case evaluation. It is noted that the bi-local construction goes beyond the assumptions in various discussions of non-locality.},

  doi          = {10.1007/JHEP03(2019)133},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 3,

  volume       = 2019,

  place        = {United States},

  year         = {Fri Mar 22 00:00:00 EDT 2019},

  month        = {Fri Mar 22 00:00:00 EDT 2019}

}

Copy to clipboard

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Works referenced in this record:

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Anomalous dimensions in CFT with weakly broken higher spin symmetry
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Spinning conformal correlators
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Higher-Spin Gauge Theories and Bulk Locality
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$1 / N$ and loop corrections in higher spin ${AdS}_{4} / {CFT}_{3}$ duality
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Works referencing / citing this record:

Cubic interactions for arbitrary spin $$ \mathcal{N} $$ -extended massless supermultiplets in 4d flat space
journal, November 2019

Metsaev, R. R.
Journal of High Energy Physics, Vol. 2019, Issue 11
DOI: 10.1007/jhep11(2019)084

Cubic interactions for arbitrary spin N-extended massless supermultiplets in 4d flat space
text, January 2019

Metsaev, R. R.
arXiv
DOI: 10.48550/arxiv.1909.05241

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Title: AdS maps and diagrams of bi-local holography

Abstract

Citation Formats

Higher-Spin Gauge Theories in Four, Three and two Dimensions journal, December 1996

All point correlation functions in SYK journal, December 2017

Operator formulation of interacting string field theory (I) journal, January 1987

AdS dual of the critical O(N) vector model journal, December 2002

Massless fields with half-integral spin journal, November 1978

Holographic quantization of linearized higher-spin gravity in the de Sitter causal patch journal, November 2018

Massless higher spins and holography journal, November 2002

Canonical formulation of O ( N ) vector/higher spin correspondence journal, February 2015

Spinning AdS loop diagrams: two point functions journal, June 2018

One loop tests of higher spin AdS/CFT journal, December 2013

Consistent equations for interacting gauge fields of all spins in 3+1 dimensions journal, July 1990

Large- N collective fields and holography journal, August 2003

Double-trace deformations of conformal correlations journal, February 2018

Anomalous dimensions in CFT with weakly broken higher spin symmetry journal, November 2016

Constraining conformal field theories with a higher spin symmetry journal, May 2013

The spectrum in the Sachdev-Ye-Kitaev model journal, April 2016

A Note on (Non)-Locality in Holographic Higher Spin Theories journal, January 2018

Strongly γ -Deformed N = 4 Supersymmetric Yang-Mills Theory as an Integrable Conformal Field Theory journal, March 2018

Massless fields with integer spin journal, November 1978

On the Clebsch-Gordan expansion for the Lorentz group in n dimensions journal, April 1976

Collective dipole model of AdS/CFT and higher spin gravity journal, November 2011

Spinning conformal correlators journal, November 2011

Analyticity in spin in conformal theories journal, September 2017

Dynamical derivation of vacuum operator-product expansion in Euclidean conformal quantum field theory journal, February 1976

Recursion relations for conformal blocks journal, September 2016

Bi-local holography in the SYK model journal, July 2016

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

Projectors, shadows, and conformal blocks journal, April 2014

Chern–Simons theory with vector fermion matter journal, August 2012

Higher-Spin Gauge Theories and Bulk Locality journal, October 2018

1 / N and loop corrections in higher spin AdS 4 / CFT 3 duality journal, April 2014

Higher spin gauge theory and holography: the three-point functions journal, September 2010

Space-time in the SYK model journal, July 2018

A spacetime derivation of the Lorentzian OPE inversion formula journal, July 2018

Conformal four point functions and the operator product expansion journal, April 2001

AdS 4 / CFT 3 construction from collective fields journal, January 2011

Holography as a gauge phenomenon in Higher Spin duality journal, January 2015

Singletons and massless, integral-spin fields on de Sitter space journal, August 1979

Large N bilocals at the infrared fixed point of the three dimensional O(N) invariant vector theory with a quartic interaction journal, November 2018

Bootstrapping mixed correlators in the 3D Ising model journal, November 2014

S = 1 in free O ( N ) vector model/HS duality journal, May 2013

A stereoscopic look into the bulk journal, July 2016

On the AdS higher spin / O(N) vector model correspondence: degeneracy of the holographic image journal, July 2006

Cubic interactions for arbitrary spin $$ \mathcal{N} $$ -extended massless supermultiplets in 4d flat space journal, November 2019

Cubic interactions for arbitrary spin N-extended massless supermultiplets in 4d flat space text, January 2019

Higher-Spin Gauge Theories in Four, Three and two Dimensions
journal, December 1996

All point correlation functions in SYK
journal, December 2017

Operator formulation of interacting string field theory (I)
journal, January 1987

AdS dual of the critical O(N) vector model
journal, December 2002

Massless fields with half-integral spin
journal, November 1978

Holographic quantization of linearized higher-spin gravity in the de Sitter causal patch
journal, November 2018

Massless higher spins and holography
journal, November 2002

Canonical formulation of O ( N ) vector/higher spin correspondence
journal, February 2015

Spinning AdS loop diagrams: two point functions
journal, June 2018

One loop tests of higher spin AdS/CFT
journal, December 2013

Consistent equations for interacting gauge fields of all spins in 3+1 dimensions
journal, July 1990

Large- N collective fields and holography
journal, August 2003

Double-trace deformations of conformal correlations
journal, February 2018

Anomalous dimensions in CFT with weakly broken higher spin symmetry
journal, November 2016

Constraining conformal field theories with a higher spin symmetry
journal, May 2013

The spectrum in the Sachdev-Ye-Kitaev model
journal, April 2016

A Note on (Non)-Locality in Holographic Higher Spin Theories
journal, January 2018

Strongly $γ$ -Deformed $N = 4$ Supersymmetric Yang-Mills Theory as an Integrable Conformal Field Theory
journal, March 2018

Massless fields with integer spin
journal, November 1978

On the Clebsch-Gordan expansion for the Lorentz group in n dimensions
journal, April 1976

Collective dipole model of AdS/CFT and higher spin gravity
journal, November 2011

Spinning conformal correlators
journal, November 2011

Analyticity in spin in conformal theories
journal, September 2017

Dynamical derivation of vacuum operator-product expansion in Euclidean conformal quantum field theory
journal, February 1976

Recursion relations for conformal blocks
journal, September 2016

Bi-local holography in the SYK model
journal, July 2016

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

Projectors, shadows, and conformal blocks
journal, April 2014

Chern–Simons theory with vector fermion matter
journal, August 2012

Higher-Spin Gauge Theories and Bulk Locality
journal, October 2018

$1 / N$ and loop corrections in higher spin ${AdS}_{4} / {CFT}_{3}$ duality
journal, April 2014

Higher spin gauge theory and holography: the three-point functions
journal, September 2010

Space-time in the SYK model
journal, July 2018

A spacetime derivation of the Lorentzian OPE inversion formula
journal, July 2018

Conformal four point functions and the operator product expansion
journal, April 2001

${AdS}_{4} / {CFT}_{3}$ construction from collective fields
journal, January 2011

Holography as a gauge phenomenon in Higher Spin duality
journal, January 2015

Singletons and massless, integral-spin fields on de Sitter space
journal, August 1979

Large N bilocals at the infrared fixed point of the three dimensional O(N) invariant vector theory with a quartic interaction
journal, November 2018

Bootstrapping mixed correlators in the 3D Ising model
journal, November 2014

S = 1 in free O ( N ) vector model/HS duality
journal, May 2013

A stereoscopic look into the bulk
journal, July 2016

On the AdS higher spin / O(N) vector model correspondence: degeneracy of the holographic image
journal, July 2006

Cubic interactions for arbitrary spin $$ \mathcal{N} $$ -extended massless supermultiplets in 4d flat space
journal, November 2019

Cubic interactions for arbitrary spin N-extended massless supermultiplets in 4d flat space
text, January 2019