A SIMPLE DERIVATION OF FINITE-TEMPERATURE CFT CORRELATORS FROM THE BTZ BLACK HOLE
| Autor: | Satoshi Ohya |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Acta Polytechnica, Vol 54, Iss 2 (2014) |
| Druh dokumentu: | article |
| ISSN: | 1210-2709 1805-2363 |
| DOI: | 10.14311/AP.2014.54.0142 |
| Popis: | 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⊕sl(2,R)R, 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. |
| Databáze: | Directory of Open Access Journals |
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