Codimension Two Holography

Abstract

A holographic interpretation for some specific Ricci flat string backgrounds of the form $A_6\times C_4$ is proposed. The conjecture is that there is a Four-dimensional Euclidean Conformal Field Theory (ECFT) defined on a codimension two {\em submanifold} of the manifold $A_6$ (where one of the two remaining {\em holographic} coordinates of $A_6$ is timelike, and the other one spacelike), with central charge proportional to the radius of curvature of the six-dimensional manifold, $c\sim l^4$.

22 pages, 1 figure, fully rewritten to improve clarity in the presentation

References in corpus (1)

• Lecture Notes on Holographic Renormalization

Cited by in corpus (5)

• Holographic entanglement entropy probes (non)locality
• Goursat's Problem and the Holographic Principle
• The Dirichlet Obstruction in AdS/CFT
• The infinite curvature limit of AdS/CFT
• Propagators from characteristic surfaces