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Noncommutative duality and fermionic quasinormal modes of the BTZ black hole

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Regular Article - Theoretical Physics
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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.

Keywords

Models of Quantum Gravity Non-Commutative Geometry AdS-CFT Correspondence Black Holes 
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© The Author(s) 2017

Authors and Affiliations

  • Kumar S. Gupta
    • 1
  • Tajron Jurić
    • 2
    • 3
  • Andjelo Samsarov
    • 2
  1. 1.Theory Division, Saha Institute of Nuclear PhysicsKolkataIndia
  2. 2.Rudjer Bošković InstituteZagrebCroatia
  3. 3.Instituto de Fisica, Universidade de BrasiliaBrasiliaBrazil

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