Alladi Ramakrishnan Hall

The case of the missing CFTs

Borun D Chowdhury

Arizona State University, U. S. A

In the AdS/CFT correspondence, conformal field theories are
defined by boundary surfaces and by the boundary conditions imposed on
those surfaces. However, different foliations lead to different boundaries
and we show that the CFTs obtained on different boundary surfaces are
distinct. This implies different correlators between them and consequently
different bulk dynamics. After discussing general aspects we focus on the
global-CFT and the CFT obtained on constant Rindler-AdS radius (which we
call Rindler-CFT). We argue that the bulk duals to these two should agree
up to very close to the acceleration horizons but then start differing. BTZ
black hole can be seen as an orbifold of AdS3 and we show that the symmetry
relevant for orbifolding is not a symmetry of the global-CFT but instead is
a symmetry of Rindler-CFT. Thus, whatever the consequences of the
difference is there for the bulk dual of Rindler-CFTs, the same is true for
the correct quantum picture of the BTZ black hole. We conjecture that the
correct bulk dual would end up removing the shared future and past wedges
with the outside regions ending in capped "geometries".