Naslov
Hawkingovo zračenje, W algebre i anomalije
(Hawking radiation, W algebras and anomalies)

Autori
Smolić, Ivica

Vrsta, podvrsta i kategorija rada
Ocjenski radovi, doktorska disertacija

Fakultet
Prirodoslovno-matematički fakultet

Mjesto
Zagreb

Datum
09.07

Godina
2010

Stranica
105

Mentor
Pallua, Silvio i Bonora, Loriano

Ključne riječi
crne rupe; Hawkingovo zračenje; anomalije; W algebre
(black holes; Hawking radiation; anomalies; W algebras)

Sažetak
We have extended the analysis of the method used to calculate the bosonic and fermionic Hawking radiation spectrum via higher spin currents. We start by showing that the near-horizon physics for a Kerr black hole is approximated by an effective two-dimensional field theory of bosonic or fermionic fields. Then, using two-dimensional currents of any spin that form a W_\infty algebra in the bosonic and W_{;1+\infty}; algebra in the fermionic case, we construct an infinite set of covariant currents, each of which carries the corresponding moment of the Hawking radiation. These are sufficient for the reconstruction of the Hawking radiation spectrum, which agrees with the result obtained by other methods. More importantly, 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 W_\infty or W_{;1+\infty}; structure. Our results point toward the existence of a symmetry larger than the Virasoro algebra, generated by some of the W algebras, in the near-horizon geometry.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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