Nearly AdS2 holography in quantum CGHS model

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Nearly AdS2 holography in quantum CGHS model. / Hirano, S.; Lei, Yang.

I: Journal of High Energy Physics, Bind 2020, Nr. 1, 178, 29.01.2020.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Hirano, S & Lei, Y 2020, 'Nearly AdS2 holography in quantum CGHS model', Journal of High Energy Physics, bind 2020, nr. 1, 178. https://doi.org/10.1007/JHEP01(2020)178

APA

Hirano, S., & Lei, Y. (2020). Nearly AdS2 holography in quantum CGHS model. Journal of High Energy Physics, 2020(1), [178]. https://doi.org/10.1007/JHEP01(2020)178

Vancouver

Hirano S, Lei Y. Nearly AdS2 holography in quantum CGHS model. Journal of High Energy Physics. 2020 jan. 29;2020(1). 178. https://doi.org/10.1007/JHEP01(2020)178

Author

Hirano, S. ; Lei, Yang. / Nearly AdS2 holography in quantum CGHS model. I: Journal of High Energy Physics. 2020 ; Bind 2020, Nr. 1.

Bibtex

@article{1e3dc291337a4012918901af45f152eb,
title = "Nearly AdS2 holography in quantum CGHS model",
abstract = "In light of recent developments in nearly AdS(2) holography, we revisit the semi-classical version of two-dimensional dilaton gravity proposed by Callan, Giddings, Harvey, and Strominger (CGHS) [1] in the early 90's. In distinction to the classical model, the quantum-corrected CGHS model has an AdS(2) vacuum with a constant dilaton. By turning on a non-normalizable mode of the Liouville field, i.e. the conformal mode of the 2d gravity, the explicit breaking of the scale invariance renders the AdS(2) vacuum nearly AdS(2). As a consequence, there emerges an effective one-dimensional Schwarzian-type theory of pseudo Nambu-Goldstone mode-the boundary graviton-on the boundary of the nearly AdS(2) space. We go beyond the linear order perturbation in non-normalizable fluctuations of the Liouville field and work up to the second order. As a main result of our analysis, we clarify the role of the boundary graviton in the holographic framework and show the Virasoro/Schwarzian correspondence, namely that the 2d bulk Virasoro constraints are equivalent to the graviton equation of motion of the 1d boundary theory, at least, on the SL(2, R) invariant vacuum.",
keywords = "2D Gravity, AdS-CFT Correspondence, Black Holes, BLACK-HOLES, SPACETIME, DYNAMICS, GEOMETRY, STATE",
author = "S. Hirano and Yang Lei",
year = "2020",
month = jan,
day = "29",
doi = "10.1007/JHEP01(2020)178",
language = "English",
volume = "2020",
journal = "Journal of High Energy Physics (Online)",
issn = "1126-6708",
publisher = "Springer",
number = "1",

}

RIS

TY - JOUR

T1 - Nearly AdS2 holography in quantum CGHS model

AU - Hirano, S.

AU - Lei, Yang

PY - 2020/1/29

Y1 - 2020/1/29

N2 - In light of recent developments in nearly AdS(2) holography, we revisit the semi-classical version of two-dimensional dilaton gravity proposed by Callan, Giddings, Harvey, and Strominger (CGHS) [1] in the early 90's. In distinction to the classical model, the quantum-corrected CGHS model has an AdS(2) vacuum with a constant dilaton. By turning on a non-normalizable mode of the Liouville field, i.e. the conformal mode of the 2d gravity, the explicit breaking of the scale invariance renders the AdS(2) vacuum nearly AdS(2). As a consequence, there emerges an effective one-dimensional Schwarzian-type theory of pseudo Nambu-Goldstone mode-the boundary graviton-on the boundary of the nearly AdS(2) space. We go beyond the linear order perturbation in non-normalizable fluctuations of the Liouville field and work up to the second order. As a main result of our analysis, we clarify the role of the boundary graviton in the holographic framework and show the Virasoro/Schwarzian correspondence, namely that the 2d bulk Virasoro constraints are equivalent to the graviton equation of motion of the 1d boundary theory, at least, on the SL(2, R) invariant vacuum.

AB - In light of recent developments in nearly AdS(2) holography, we revisit the semi-classical version of two-dimensional dilaton gravity proposed by Callan, Giddings, Harvey, and Strominger (CGHS) [1] in the early 90's. In distinction to the classical model, the quantum-corrected CGHS model has an AdS(2) vacuum with a constant dilaton. By turning on a non-normalizable mode of the Liouville field, i.e. the conformal mode of the 2d gravity, the explicit breaking of the scale invariance renders the AdS(2) vacuum nearly AdS(2). As a consequence, there emerges an effective one-dimensional Schwarzian-type theory of pseudo Nambu-Goldstone mode-the boundary graviton-on the boundary of the nearly AdS(2) space. We go beyond the linear order perturbation in non-normalizable fluctuations of the Liouville field and work up to the second order. As a main result of our analysis, we clarify the role of the boundary graviton in the holographic framework and show the Virasoro/Schwarzian correspondence, namely that the 2d bulk Virasoro constraints are equivalent to the graviton equation of motion of the 1d boundary theory, at least, on the SL(2, R) invariant vacuum.

KW - 2D Gravity

KW - AdS-CFT Correspondence

KW - Black Holes

KW - BLACK-HOLES

KW - SPACETIME

KW - DYNAMICS

KW - GEOMETRY

KW - STATE

U2 - 10.1007/JHEP01(2020)178

DO - 10.1007/JHEP01(2020)178

M3 - Journal article

VL - 2020

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

IS - 1

M1 - 178

ER -

ID: 248289464