AdS 3 orbifolds, BTZ black holes, and holography
Abstract Conical defects of the form (AdS 3 × S 3 $$ {\mathbbm{S}}^3 $$ )/ℤ k have an exact orbifold description in worldsheet string theory, which we derive from their known presentation as gauged Wess-Zumino-Witten models. The configuration of strings and fivebranes sourcing this geometry is well-...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP10(2023)016 |
| _version_ | 1797341350010552320 |
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| author | Emil J. Martinec |
| author_facet | Emil J. Martinec |
| author_sort | Emil J. Martinec |
| collection | DOAJ |
| description | Abstract Conical defects of the form (AdS 3 × S 3 $$ {\mathbbm{S}}^3 $$ )/ℤ k have an exact orbifold description in worldsheet string theory, which we derive from their known presentation as gauged Wess-Zumino-Witten models. The configuration of strings and fivebranes sourcing this geometry is well-understood, as is the correspondence to states/operators in the dual CFT 2. One can analytically continue the construction to Euclidean AdS 3 (i.e. the hyperbolic ball ℍ 3 + $$ {\mathbb{H}}_3^{+} $$ ) and consider the orbifold by any infinite discrete (Kleinian) group generated by a set of elliptic elements γ i ∈ SL(2, ℂ), γ i k i $$ {\gamma}_i^{{\textrm{k}}_i} $$ = 𝟙, i = 1, . . . , K. The resulting geometry consists of multiple conical defects traveling along geodesics in ℍ 3 + $$ {\mathbb{H}}_3^{+} $$ , and provides a semiclassical bulk description of correlation functions in the dual CFT involving the corresponding defect operators, which is nonperturbatively exact in α ′. The Lorentzian continuation of these geometries describes a collection of defects colliding to make a BTZ black hole. We comment on a recent proposal to use such correlators to prepare a basis of black hole microstates, and elaborate on a picture of black hole formation and evaporation in terms of the underlying brane dynamics in the bulk. |
| first_indexed | 2024-03-08T10:17:43Z |
| format | Article |
| id | doaj.art-5f8202180fd54212ac64f55e1f2a1860 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T10:17:43Z |
| publishDate | 2023-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-5f8202180fd54212ac64f55e1f2a18602024-01-28T12:21:42ZengSpringerOpenJournal of High Energy Physics1029-84792023-10-0120231014310.1007/JHEP10(2023)016AdS 3 orbifolds, BTZ black holes, and holographyEmil J. Martinec0Kadanoff Center for Theoretical Physics, Enrico Fermi Institute and Department of Physics, University of ChicagoAbstract Conical defects of the form (AdS 3 × S 3 $$ {\mathbbm{S}}^3 $$ )/ℤ k have an exact orbifold description in worldsheet string theory, which we derive from their known presentation as gauged Wess-Zumino-Witten models. The configuration of strings and fivebranes sourcing this geometry is well-understood, as is the correspondence to states/operators in the dual CFT 2. One can analytically continue the construction to Euclidean AdS 3 (i.e. the hyperbolic ball ℍ 3 + $$ {\mathbb{H}}_3^{+} $$ ) and consider the orbifold by any infinite discrete (Kleinian) group generated by a set of elliptic elements γ i ∈ SL(2, ℂ), γ i k i $$ {\gamma}_i^{{\textrm{k}}_i} $$ = 𝟙, i = 1, . . . , K. The resulting geometry consists of multiple conical defects traveling along geodesics in ℍ 3 + $$ {\mathbb{H}}_3^{+} $$ , and provides a semiclassical bulk description of correlation functions in the dual CFT involving the corresponding defect operators, which is nonperturbatively exact in α ′. The Lorentzian continuation of these geometries describes a collection of defects colliding to make a BTZ black hole. We comment on a recent proposal to use such correlators to prepare a basis of black hole microstates, and elaborate on a picture of black hole formation and evaporation in terms of the underlying brane dynamics in the bulk.https://doi.org/10.1007/JHEP10(2023)016AdS-CFT CorrespondenceBlack Holes in String TheoryConformal Field Models in String Theory |
| spellingShingle | Emil J. Martinec AdS 3 orbifolds, BTZ black holes, and holography Journal of High Energy Physics AdS-CFT Correspondence Black Holes in String Theory Conformal Field Models in String Theory |
| title | AdS 3 orbifolds, BTZ black holes, and holography |
| title_full | AdS 3 orbifolds, BTZ black holes, and holography |
| title_fullStr | AdS 3 orbifolds, BTZ black holes, and holography |
| title_full_unstemmed | AdS 3 orbifolds, BTZ black holes, and holography |
| title_short | AdS 3 orbifolds, BTZ black holes, and holography |
| title_sort | ads 3 orbifolds btz black holes and holography |
| topic | AdS-CFT Correspondence Black Holes in String Theory Conformal Field Models in String Theory |
| url | https://doi.org/10.1007/JHEP10(2023)016 |
| work_keys_str_mv | AT emiljmartinec ads3orbifoldsbtzblackholesandholography |