A Dual CFT for Schwarzschild Black Hole

نویسنده

  • Reza Fareghbal
چکیده

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 r3 H = 96M 3. 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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تاریخ انتشار 2009