MG14 - Talk detail |
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Participant |
Compere, Geoffrey | |||||||
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Institution |
ULB - Campus Plaine CP231 - Ixelles - Brussels - Belgium | |||||||
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Session |
ST2 |
Accepted |
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Order |
Time |
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Talk |
Oral abstract |
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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Pdf file |
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