Hawking Fluxes, $W_\infty$ Algebra and Anomalies

Details Hawking Fluxes, $W_\infty$ Algebra and Anomalies Hawking Fluxes, $W_\infty$ Algebra and Anomalies

2008-08-18

arxiv.org/abs/0808.2360v2

JHEP0812:021,2008

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, two footnotes, references and minor corrections added

Scientific paper

10.1088/1126-6708/2008/12/021

We complete the analysis started in [arXiv:0804.0198] of the Hawking radiation calculated by means of anomaly techniques. We concentrate on a static radially symmetric BH, reduced to two dimensions. We compare the two methods used to derive the integrated Hawking radiation, based on the trace and diffeomorphism anomaly, respectively, and show that they can be reduced to the same basic elements. We then concentrate on higher moments of the Hawking radiation and on higher spin currents, and show that, similarly to trace anomalies, also diffeomorphism anomalies are absent from the conservation laws of higher spin currents. We show that the predictivity of the method is due to the $W_\infty$ current algebra underlying the effective model that describes matter around the black hole.

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