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arXiv · 2301.02867

Covariant calculation of the partition function of the two-dimensional sigma model on compact two-surfaces

O. D. Andreev·R. R. Metsaev·A. A. Tseytlin
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Abstract

Motivated by string theory connection, a covariant procedure for perturbative calculation of the partition function of the two-dimensional generalized $\sigma$-model is considered. The importance of a consistent regularization of the measure in the path integral is emphasized. The partition function is computed for a number of specific 2-manifolds: sphere, disk and torus.

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O. D. Andreev, R. R. Metsaev, A. A. Tseytlin. 2023-01-07. Covariant calculation of the partition function of the two-dimensional sigma model on compact two-surfaces. https://arxiv.org/abs/2301.02867

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