OPE's and the Dilaton Beta-Function for the 2-D N=1 Supersymmetric Non-Linear $\sigma$-Model

Abstract

Using the superspace formalism, we compute for the two-dimensional N=1 supersymmetric non-linear $\sigma$-model, the order $({\alpha }^{\prime }{)}^2$ $(R_{mnpq}{)}^2$ (three-loop) correction to the central charge via the operator product expansion of the supercurrent with itself. The contribution vanishes, in agreement with previous results obtained from the usual $\sigma$-model $\beta$-function approach.

10 pp. + 1 uuencoded figure

Cited by in corpus (1)

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