“School of Physic”
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Paper IPM / Physic / 11186 |
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Abstract: | |
We consider horizon as a boundary and study the symmetries of
the Schwarzschild metric in the near-horizon region. Appropriate
boundary conditions result the boundary killing vectors which
obey a Virasoro algebra. The algebra of the corresponding charges
has a central term with central charge c=12 rH3=96 M3. If
we identify this central charge as the central charge of the dual
CFT (defined at the horizon) and the Hawking temperature as the
temperature of this CFT, Cardy formula reproduces the
Bekenstein-Hawking entropy of the Schwarzschild black hole.
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