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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Main Authors: Kumar S. Gupta, Tajron Jurić, Andjelo Samsarov
Format: Article
Language:English
Published: SpringerOpen 2017-06-01
Series:Journal of High Energy Physics
Subjects:
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.
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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
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AT tajronjuric noncommutativedualityandfermionicquasinormalmodesofthebtzblackhole
AT andjelosamsarov noncommutativedualityandfermionicquasinormalmodesofthebtzblackhole