30,656 research outputs found
AdS/CFT Correspondence and Quotient Space Geometry
We consider a version of the correspondence, in which the
bulk space is taken to be the quotient manifold with a
fairly generic discrete group acting isometrically on . We
address some geometrical issues concerning the holographic principle and the
UV/IR relations. It is shown that certain singular structures on the quotient
boundary can affect the underlying physical spectrum. In
particular, the conformal dimension of the most relevant operators in the
boundary CFT can increase as becomes ``large''. This phenomenon also
has a natural explanation in terms of the bulk supergravity theory. The scalar
two-point function is computed using this quotient version of the AdS/CFT
correspondence, which agrees with the expected result derived from conformal
invariance of the boundary theory.Comment: 28 pages, Latex, no figures. Minor changes, version to appear in JHE
- …