B-RNS-GSS heterotic string in curved backgrounds

The recently established B-RNS-GSS formalism is extended for the description of the heterotic superstring in curved backgrounds. We propose a generalized action and BRST charge defined in the small Hilbert space with the standard form of an N = (1, 0) worldsheet superconformal theory with superconformal generator G and stress tensor T. We show that {G, G} = −2T implies the D=10 N=1 supergravity and super-Yang-Mills equations of motion, as well as holomorphicity of the BRST charge.