Covariant Computation of the Low Energy Effective Action of the Heterotic Superstring

Abstract

We derive the low energy effective action of the heterotic superstring in superspace. This is achieved by coupling the covariantly quantized Green-Schwarz superstring of Berkovits to a curved background and requiring that the sigma model has superconformal invariance at tree level and at one loop in $\a'$. Tree level superconformal invariance yields the complete supergravity algebra, and one-loop superconformal invariance the equations of motion of the low energy theory. The resulting low energy theory is old-minimal supergravity coupled to a tensor multiplet. The dilaton is part of the compensator multiplet.

59 pages, LaTeX, with two figures (needs epsfig)

References in corpus (6)

• Superspace Effective Actions for 4D Compactifications of Heterotic and Type II Superstrings
• The Dilaton Theorem and Closed String Backgrounds
• Curved Extended Superspace from Yang-Mills Theory a la Strings
• Who changes the string coupling ?
• Two Loop Renormalization of Massive (p,q) Supersymmetric Sigma Models
• OPE's and the Dilaton Beta-Function for the 2-D N=1 Supersymmetric Non-Linear $\sigma$-Model

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