Holography and CFT on Generic Manifolds

TL;DR

This paper extends the AdS/CFT correspondence to more general manifolds, demonstrating the stability of spectral properties under geometric variations, thus broadening the applicability of holographic duality.

Contribution

It generalizes the holographic duality to arbitrary manifolds and proves the stability of spectral correspondence under geometric deformations.

Findings

AdS/CFT correspondence applies to more general manifolds.

Spectral mass/conformal-weight correspondence remains stable.

The geometric extension broadens holographic duality applications.

Abstract

In this paper it is shown how the AdS/CFT correspondence extends to a more general situation in which the first theory is defined on (d+1)-dimensional manifold $\tilde M$ defined as the filling in of a compact d-dimensional manifold M. The stability of the spectral correspondence mass/conformal-weight under such geometry changes is also proven.