Nearly AdS2 holography in quantum CGHS model
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- Hirano-Lei2020_Article_NearlyAdS2HolographyInQuantumC
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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.
Original language | English |
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Article number | 178 |
Journal | Journal of High Energy Physics |
Volume | 2020 |
Issue number | 1 |
Number of pages | 24 |
ISSN | 1029-8479 |
DOIs | |
Publication status | Published - 29 Jan 2020 |
- 2D Gravity, AdS-CFT Correspondence, Black Holes, BLACK-HOLES, SPACETIME, DYNAMICS, GEOMETRY, STATE
Research areas
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