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High Energy Physics - Theory

arXiv:1108.0341 (hep-th)
[Submitted on 1 Aug 2011 (v1), last revised 27 Feb 2012 (this version, v2)]

Title:Quantum statistics and noncommutative black holes

Authors:Kumar S. Gupta, Stjepan Meljanac, Andjelo Samsarov
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Abstract:We study the behaviour of a scalar field coupled to a noncommutative black hole which is described by a $\kappa$-cylinder Hopf algebra. We introduce a new class of realizations of this algebra which has a smooth limit as the deformation parameter vanishes. The twisted flip operator is independent of the choice of realization within this class. We demonstrate that the $R$-matrix is quasi-triangular up to the first order in the deformation parameter. Our results indicate how a scalar field might behave in the vicinity of a black hole at the Planck scale.
Comments: 8 pages, no figures, revtex4; in v2 some points are explained in more detail, few typos corrected and one reference added
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:1108.0341 [hep-th]
  (or arXiv:1108.0341v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1108.0341
Journal reference: Phys. Rev. D 85: 045029, 2012
Related DOI: https://doi.org/10.1103/PhysRevD.85.045029

Submission history

From: Andjelo Samsarov [view email]
[v1] Mon, 1 Aug 2011 15:40:19 UTC (14 KB)
[v2] Mon, 27 Feb 2012 15:07:53 UTC (16 KB)
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