Heterotic Coset Models of Microscopic Strings and Black Holes

Abstract

Following a recent conjecture by Lapan, Simons and Strominger, we revisit and discuss an intrinsically heterotic class of conformal field theories, emphasizing their Lagrangian construction as asymmetrically gauged WZW models, which may be useful in several applications to the study of supersymmetric strings and black holes in heterotic and type II string theory compactified on T^6 and K3 X T^2 respectively. In these cases, the leading supergravity geometry is singular, but higher order corrections remove this singularity in a way that is consistent with, for example the non-zero entropy for the black holes that these strings form after wrapping on an additional circle. The conformal field theories have the right structure to capture the features of the supergravity analysis, and possess precisely the microscopic target spaces required. We describe in detail the model with AdS_3 X S^2 geometry, which is conjectured by Lapan et. al. to represent a fundamental heterotic string in five dimensions, and then propose conformal field theories which are potential candidates for the microscopic geometry of heterotic strings in $D$ dimensions, with target space AdS_3 X S^{D-3}. We also discuss some conformal field theories that give microscopic AdS target spaces in various dimensions.