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arXiv · hep-th/9706218

The Quantum Geometry of N=(2,2) Non-Linear Sigma-Models

M. T. Grisaru·M. Massar·A. Sevrin·J. Troost
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Abstract

We consider a general N=(2,2) non-linear sigma-model in (2,2) superspace. Depending on the details of the complex structures involved, an off-shell description can be given in terms of chiral, twisted chiral and semi-chiral superfields. Using superspace techniques, we derive the conditions the potential has to satisfy in order to be ultra-violet finite at one loop. We pay particular attention to the effects due to the presence of semi-chiral superfields. A complete description of N=(2,2) strings follows from this.

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M. T. Grisaru, M. Massar, A. Sevrin, J. Troost. 1997-06-30. The Quantum Geometry of N=(2,2) Non-Linear Sigma-Models. https://doi.org/10.1016/s0370-2693(97)01053-8

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