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Paper   IPM / Physic / 11143
School of Physics
  Title:   DLCQ and the 2d Chiral CFT: On the Chiral CFT Duals of Extremal Black Holes
  Author(s): 
1.  V. Balasubramanian
2.  J. de Boer
3.  M.M. Sheikh-Jabbari
4.  J. Simon
  Status:   Published
  Journal: JHEP
  Vol.:  02
  Year:  2010
  Pages:   017
  Supported by:  IPM
  Abstract:
The near horizon limit of the extremal BTZ black hole is a "self-dual orbifold" of AdS3. This geometry has a null circle on its boundary, and thus the dual field theory is a Discrete Light Cone Quantized (DLCQ) two dimensional CFT. The same geometry can be compactified to two dimensions giving AdS2 with a constant electric field. The kinematics of the DLCQ show that in a consistent quantum theory of gravity in these backgrounds there can be no dynamics in AdS2, which is consistent with older ideas about instabilities in this space. We show how the necessary boundary conditions eliminating AdS2 fluctuations can be implemented, leaving one copy of a Virasoro algebra as the asymptotic symmetry group. Our considerations clarify some aspects of the chiral CFTs appearing in proposed dual descriptions of the near-horizon degrees of freedom of extremal black holes.

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