Nearly AdS2 holography in quantum CGHS model
Abstract In light of recent developments in nearly AdS2 holography, we revisit the semiclassical 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...
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2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)178 |
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| author | Shinji Hirano Yang Lei |
| author_facet | Shinji Hirano Yang Lei |
| author_sort | Shinji Hirano |
| collection | DOAJ |
| description | Abstract In light of recent developments in nearly AdS2 holography, we revisit the semiclassical 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 AdS2 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 AdS2 vacuum nearly AdS2. 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 AdS2 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. |
| format | Article |
| id | doaj-art-d715136e0c9a42a2bdef6ad9ca6975ac |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
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| series | Journal of High Energy Physics |
| spelling | doaj-art-d715136e0c9a42a2bdef6ad9ca6975ac2025-02-09T12:06:21ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020112410.1007/JHEP01(2020)178Nearly AdS2 holography in quantum CGHS modelShinji Hirano0Yang Lei1School of Physics and Mandelstam Institute for Theoretical Physics, DST-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), National Institute for Theoretical Physics, University of the WitwatersrandSchool of Physics and Mandelstam Institute for Theoretical Physics, DST-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), National Institute for Theoretical Physics, University of the WitwatersrandAbstract In light of recent developments in nearly AdS2 holography, we revisit the semiclassical 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 AdS2 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 AdS2 vacuum nearly AdS2. 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 AdS2 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.https://doi.org/10.1007/JHEP01(2020)1782D GravityAdS-CFT CorrespondenceBlack Holes |
| spellingShingle | Shinji Hirano Yang Lei Nearly AdS2 holography in quantum CGHS model Journal of High Energy Physics 2D Gravity AdS-CFT Correspondence Black Holes |
| title | Nearly AdS2 holography in quantum CGHS model |
| title_full | Nearly AdS2 holography in quantum CGHS model |
| title_fullStr | Nearly AdS2 holography in quantum CGHS model |
| title_full_unstemmed | Nearly AdS2 holography in quantum CGHS model |
| title_short | Nearly AdS2 holography in quantum CGHS model |
| title_sort | nearly ads2 holography in quantum cghs model |
| topic | 2D Gravity AdS-CFT Correspondence Black Holes |
| url | https://doi.org/10.1007/JHEP01(2020)178 |
| work_keys_str_mv | AT shinjihirano nearlyads2holographyinquantumcghsmodel AT yanglei nearlyads2holographyinquantumcghsmodel |