Noncommutative duality and fermionic quasinormal modes of the BTZ black hole
Abstract We analyze the fermionic quasinormal modes of the BTZ black hole in the presence of space-time noncommutativity. Our analysis exploits a duality between a spinless and spinning BTZ black hole, the spin being proportional to the noncommutative deformation parameter. Using the AdS/CFT corresp...
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Format: | Article |
Language: | English |
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SpringerOpen
2017-06-01
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Series: | Journal of High Energy Physics |
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Online Access: | http://link.springer.com/article/10.1007/JHEP06(2017)107 |
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author | Kumar S. Gupta Tajron Jurić Andjelo Samsarov |
author_facet | Kumar S. Gupta Tajron Jurić Andjelo Samsarov |
author_sort | Kumar S. Gupta |
collection | DOAJ |
description | Abstract We analyze the fermionic quasinormal modes of the BTZ black hole in the presence of space-time noncommutativity. Our analysis exploits a duality between a spinless and spinning BTZ black hole, the spin being proportional to the noncommutative deformation parameter. Using the AdS/CFT correspondence we show that the horizon temperatures in the dual CFT are modified due to noncommutative contributions. We demonstrate the equivalence between the quasinormal and non-quasinormal modes for the noncommutative fermionic probes, which provides further evidence of holography in the noncommutative setting. Finally we present an analysis of the emission of Dirac fermions and the corresponding tunneling amplitude within this noncommutative framework. |
first_indexed | 2024-12-19T21:04:46Z |
format | Article |
id | doaj.art-25a4176bcfa645819544333d075db9f6 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-19T21:04:46Z |
publishDate | 2017-06-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj.art-25a4176bcfa645819544333d075db9f62022-12-21T20:05:41ZengSpringerOpenJournal of High Energy Physics1029-84792017-06-012017612610.1007/JHEP06(2017)107Noncommutative duality and fermionic quasinormal modes of the BTZ black holeKumar S. Gupta0Tajron Jurić1Andjelo Samsarov2Theory Division, Saha Institute of Nuclear PhysicsRudjer Bošković InstituteRudjer Bošković InstituteAbstract We analyze the fermionic quasinormal modes of the BTZ black hole in the presence of space-time noncommutativity. Our analysis exploits a duality between a spinless and spinning BTZ black hole, the spin being proportional to the noncommutative deformation parameter. Using the AdS/CFT correspondence we show that the horizon temperatures in the dual CFT are modified due to noncommutative contributions. We demonstrate the equivalence between the quasinormal and non-quasinormal modes for the noncommutative fermionic probes, which provides further evidence of holography in the noncommutative setting. Finally we present an analysis of the emission of Dirac fermions and the corresponding tunneling amplitude within this noncommutative framework.http://link.springer.com/article/10.1007/JHEP06(2017)107Models of Quantum GravityNon-Commutative GeometryAdS-CFT CorrespondenceBlack Holes |
spellingShingle | Kumar S. Gupta Tajron Jurić Andjelo Samsarov Noncommutative duality and fermionic quasinormal modes of the BTZ black hole Journal of High Energy Physics Models of Quantum Gravity Non-Commutative Geometry AdS-CFT Correspondence Black Holes |
title | Noncommutative duality and fermionic quasinormal modes of the BTZ black hole |
title_full | Noncommutative duality and fermionic quasinormal modes of the BTZ black hole |
title_fullStr | Noncommutative duality and fermionic quasinormal modes of the BTZ black hole |
title_full_unstemmed | Noncommutative duality and fermionic quasinormal modes of the BTZ black hole |
title_short | Noncommutative duality and fermionic quasinormal modes of the BTZ black hole |
title_sort | noncommutative duality and fermionic quasinormal modes of the btz black hole |
topic | Models of Quantum Gravity Non-Commutative Geometry AdS-CFT Correspondence Black Holes |
url | http://link.springer.com/article/10.1007/JHEP06(2017)107 |
work_keys_str_mv | AT kumarsgupta noncommutativedualityandfermionicquasinormalmodesofthebtzblackhole AT tajronjuric noncommutativedualityandfermionicquasinormalmodesofthebtzblackhole AT andjelosamsarov noncommutativedualityandfermionicquasinormalmodesofthebtzblackhole |