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arXiv 1108.0341hep-th
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量子统计与非对易黑洞

Quantum statistics and noncommutative black holes

Kumar S. Gupta, Stjepan Meljanac, Andjelo Samsarov

摘要:

研究了耦合到非对易黑洞的标量场的行为,该黑洞由$κ$ -柱面Hopf代数描述.我们引入了一类新的实现这个代数,它有一个光滑的极限变形参数为零。扭曲翻转算子与该类中实现的选择无关。我们证明了$R$ -矩阵是准三角形的变形参数的第一顺序。我们的结果表明,在普朗克尺度下,标量场在黑洞附近的行为。

英文摘要:

We study the behaviour of a scalar field coupled to a noncommutative black hole which is described by a $κ$-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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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