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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

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.

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