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

Marcia E. Wehlau

doi:10.1103/PhysRevD.51.1831

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

High Energy Physics - Theory 2009-10-28 v1

Authors: Marcia E. Wehlau

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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.

Keywords

supersymmetric sigma model operator product expansion central charge beta function three-loop correction

Cite

@article{arxiv.hep-th/9410133,
  title  = {OPE's and the Dilaton Beta-Function for the 2-D N=1 Supersymmetric Non-Linear $\sigma$-Model},
  author = {Marcia E. Wehlau},
  journal= {arXiv preprint arXiv:hep-th/9410133},
  year   = {2009}
}

Comments

10 pp. + 1 uuencoded figure

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