ST2 - Black Holes in String Theory |
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Speaker |
Compere, Geoffrey |
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Coauthors |
Hajian, Kamal; Seraj, Ali; Sheikh-Jabbari, Shahin |
| Talk Title |
Generalized Virasoro symmetries near extremal black hole horizons |
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Abstract |
Infinite dimensional algebras often appear in theoretical physics. Here we show how to realize an infinite dimensional algebra which contains several Virasoro and U(1) Kac-Moody algebras in the vicinity of a generic rotating extremal black hole horizon in four and higher dimensions. We construct a phase space of smooth metrics which forms a representation of the algebra. These near-extremal black hole geometries contain a Liouville-type field whose stress-tensor equips any rotating extremal black hole with ``Virasoro hair'', namely conserved charges associated with the generalized Virasoro algebra. |
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