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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
CTU Central Library
2014-04-01
|
| Series: | Acta Polytechnica |
| Online Access: | https://ojs.cvut.cz/ojs/index.php/ap/article/view/2097 |
| id |
doaj-4f6b02c9d4cf4043b1e7ace8e0690d80 |
|---|---|
| record_format |
Article |
| spelling |
doaj-4f6b02c9d4cf4043b1e7ace8e0690d802020-11-24T23:51:53ZengCTU 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Satoshi Ohya |
| spellingShingle |
Satoshi Ohya A SIMPLE DERIVATION OF FINITE-TEMPERATURE CFT CORRELATORS FROM THE BTZ BLACK HOLE Acta Polytechnica |
| author_facet |
Satoshi Ohya |
| author_sort |
Satoshi Ohya |
| title |
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_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_sort |
simple derivation of finite-temperature cft correlators from the btz black hole |
| publisher |
CTU Central Library |
| series |
Acta Polytechnica |
| issn |
1210-2709 1805-2363 |
| publishDate |
2014-04-01 |
| 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. |
| url |
https://ojs.cvut.cz/ojs/index.php/ap/article/view/2097 |
| work_keys_str_mv |
AT satoshiohya asimplederivationoffinitetemperaturecftcorrelatorsfromthebtzblackhole AT satoshiohya simplederivationoffinitetemperaturecftcorrelatorsfromthebtzblackhole |
| _version_ |
1725475729671454720 |