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

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

1994-10-18

arxiv.org/abs/hep-th/9410133v1

Phys.Rev. D51 (1995) 1831-1835

Physics

High Energy Physics

High Energy Physics - Theory

10 pp. + 1 uuencoded figure

Scientific paper

10.1103/PhysRevD.51.1831

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.

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