Superstrings in 2D backgrounds with R–R flux and new extremal black holes

Abstract

The hybrid formalism is used to quantize the superstring compactified to two-dimensional target-space in a manifestly spacetime supersymmetric manner. A quantizable sigma model action is then constructed for the type II superstring in curved two-dimensional supergravity backgrounds which can include Ramond–Ramond flux. Such curved backgrounds include Calabi–Yau four-fold compactifications with Ramond–Ramond flux, and new extremal black hole solutions in two-dimensional dilaton supergravity theory. These black hole solutions are a natural generalization of the CGHS model and might be possible to describe using a supergroup version of the SL(2, R)/ U(1) WZW model. We also study some dynamical aspects of the new black holes, such as formation and evaporation.