B-RNS-GSS heterotic string in curved backgrounds

Abstract

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 $\mathcal{N}=(1,0)$ 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.

arXiv comment25 pages + appendices; reference arXiv number added

References in corpus (6)

• Super-Poincare Covariant Quantization of the Superstring
• Ten-Dimensional Supergravity Constraints from the Pure Spinor Formalism for the Superstring
• Relating the RNS and Pure Spinor Formalisms for the Superstring
• Untwisting the Pure Spinor Formalism to the RNS and Twistor String in a Flat and $Ad{S}_5\times S^5$ Background
• Covariant Map Between Ramond-Neveu-Schwarz and Pure Spinor Formalisms for the Superstring
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• D=5 Holomorphic Chern-Simons and the Pure Spinor Superstring
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• Supersymmetric String Configurations in Ad${\mathbb{S}}_5\times {\mathbb{S}}^5$