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“School of Physics”

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Paper   IPM / P / 8833
School of Physics
  Title:   Central Charge for 2D Gravity on AdS(2) and AdS(2)/CFT(1) Correspondence
  Author(s): 
1.  M. Alishahiha
2.  F. Ardalan
  Status:   Published
  Journal: JHEP
  Vol.:  08
  Year:  2008
  Pages:   079
  Supported by:  IPM
  Abstract:
We study 2D Maxwell-dilaton gravity on AdS(2). We distinguish two distinctive cases depending on whether the AdS(2) solution can be lifted to an AdS(3) geometry. In both cases, in order to get a consistent boundary condition we need to work with a twisted energy momentum tensor which has non-zero central charge. With this central charge and the explicit form of the twisted Virasoro generators we compute the entropy of the system using the Cardy formula. The entropy is found to be the same as that obtained from gravity calculations. The agreement is an indication of AdS(2)/CFT(1) correspondence.

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