Hawking fluxes, Fermionic currents, W(1+infinity) algebra, and anomalies

Bonora, Loriano and Cvitan, Maro and Pallua, Silvio and Smolić, Ivica (2009) Hawking fluxes, Fermionic currents, W(1+infinity) algebra, and anomalies. Physical Review D, 80 (8). pp. 84034-12. ISSN 1550-7998

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Abstract

We complete the analysis carried out in previous papers by studying the Hawking radiation for a Kerr black hole carried to infinity by fermionic currents of any spin. We find agreement with the thermal spectrum of the Hawking radiation for fermionic degrees of freedom. We start by showing that the near-horizon physics for a Kerr black hole is approximated by an effective two-dimensional field theory of fermionic fields. Then, starting from two-dimensional currents of any spin that form a W1+∞ algebra, we construct an infinite set of covariant currents, each of which carries the corresponding moment of the Hawking radiation. All together they agree with the thermal spectrum of the latter. We show that the predictive power of this method is based not on the anomalies of the higher-spin currents (which are trivial) but on the underlying W1+∞ structure. Our results point toward the existence in the near-horizon geometry of a symmetry larger than the Virasoro algebra, which very likely takes the form of a W∞ algebra.

Item Type: Article
Keywords: Hawking radiation, W-infinity algebra, anomalies
Date: October 2009
Subjects: NATURAL SCIENCES > Physics
Additional Information: Copyright (2009) by the American Physical Society.
Divisions: Faculty of Science > Department of Physics
Project code: 119-0982930-1016
Publisher: American Physical Society
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 30 May 2014 16:11
Last Modified: 30 May 2014 16:11
URI: http://digre.pmf.unizg.hr/id/eprint/2025

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