Codimension Two Holography
Abstract
A holographic interpretation for some specific Ricci flat string backgrounds of the form
A
6
×
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∼
l
4
.