A SIMPLE DERIVATION OF FINITE-TEMPERATURE CFT CORRELATORS FROM THE BTZ BLACK HOLE
We present a simple Lie-algebraic approach to momentum-space two-point functions of two-dimensional conformal field theory at finite temperature dual to the BTZ black hole. Making use of the real-time prescription of AdS/CFT correspondence and ladder equations of the Lie algebra so(2,2) ∼= sl(2,R)&l...
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| Format: | Article |
| Language: | English |
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CTU Central Library
2014-04-01
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| Series: | Acta Polytechnica |
| Online Access: | https://ojs.cvut.cz/ojs/index.php/ap/article/view/2097 |
| _version_ | 1819039511154262016 |
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| author | Satoshi Ohya |
| author_facet | Satoshi Ohya |
| author_sort | Satoshi Ohya |
| collection | DOAJ |
| description | We present a simple Lie-algebraic approach to momentum-space two-point functions of two-dimensional conformal field theory at finite temperature dual to the BTZ black hole. Making use of the real-time prescription of AdS/CFT correspondence and ladder equations of the Lie algebra so(2,2) ∼= sl(2,R)<sub>L</sub>⊕sl(2,R)<sub>R</sub>, we show that the finite-temperature two-point functions in momentum space satisfy linear recurrence relations with respect to the left and right momenta. These recurrence relations are exactly solvable and completely determine the momentum-dependence of retarded and advanced two-point functions of finite-temperature conformal field theory. |
| first_indexed | 2024-12-21T08:54:22Z |
| format | Article |
| id | doaj.art-4f6b02c9d4cf4043b1e7ace8e0690d80 |
| institution | Directory Open Access Journal |
| issn | 1210-2709 1805-2363 |
| language | English |
| last_indexed | 2024-12-21T08:54:22Z |
| publishDate | 2014-04-01 |
| publisher | CTU Central Library |
| record_format | Article |
| series | Acta Polytechnica |
| spelling | doaj.art-4f6b02c9d4cf4043b1e7ace8e0690d802022-12-21T19:09:36ZengCTU Central LibraryActa Polytechnica1210-27091805-23632014-04-0154210.14311/AP.2014.54.01422069A SIMPLE DERIVATION OF FINITE-TEMPERATURE CFT CORRELATORS FROM THE BTZ BLACK HOLESatoshi Ohya0Doppler Institute for Mathematical Physics and Applied Mathematics, Czech Technical University in Prague, Břehová 7, 11519 PragueWe present a simple Lie-algebraic approach to momentum-space two-point functions of two-dimensional conformal field theory at finite temperature dual to the BTZ black hole. Making use of the real-time prescription of AdS/CFT correspondence and ladder equations of the Lie algebra so(2,2) ∼= sl(2,R)<sub>L</sub>⊕sl(2,R)<sub>R</sub>, we show that the finite-temperature two-point functions in momentum space satisfy linear recurrence relations with respect to the left and right momenta. These recurrence relations are exactly solvable and completely determine the momentum-dependence of retarded and advanced two-point functions of finite-temperature conformal field theory.https://ojs.cvut.cz/ojs/index.php/ap/article/view/2097 |
| spellingShingle | Satoshi Ohya A SIMPLE DERIVATION OF FINITE-TEMPERATURE CFT CORRELATORS FROM THE BTZ BLACK HOLE Acta Polytechnica |
| title | A SIMPLE DERIVATION OF FINITE-TEMPERATURE CFT CORRELATORS FROM THE BTZ BLACK HOLE |
| title_full | A SIMPLE DERIVATION OF FINITE-TEMPERATURE CFT CORRELATORS FROM THE BTZ BLACK HOLE |
| title_fullStr | A SIMPLE DERIVATION OF FINITE-TEMPERATURE CFT CORRELATORS FROM THE BTZ BLACK HOLE |
| title_full_unstemmed | A SIMPLE DERIVATION OF FINITE-TEMPERATURE CFT CORRELATORS FROM THE BTZ BLACK HOLE |
| title_short | A SIMPLE DERIVATION OF FINITE-TEMPERATURE CFT CORRELATORS FROM THE BTZ BLACK HOLE |
| title_sort | simple derivation of finite temperature cft correlators from the btz black hole |
| url | https://ojs.cvut.cz/ojs/index.php/ap/article/view/2097 |
| work_keys_str_mv | AT satoshiohya asimplederivationoffinitetemperaturecftcorrelatorsfromthebtzblackhole AT satoshiohya simplederivationoffinitetemperaturecftcorrelatorsfromthebtzblackhole |