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arXiv · 2007.12543

Jacobi sigma models

Francesco Bascone·Franco Pezzella·Patrizia Vitale
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Abstract

We introduce a two-dimensional sigma model associated with a Jacobi manifold. The model is a generalisation of a Poisson sigma model providing a topological open string theory. In the Hamiltonian approach first class constraints are derived, which generate gauge invariance of the model under diffeomorphisms. The reduced phase space is finite-dimensional. By introducing a metric tensor on the target, a non-topological sigma model is obtained, yielding a Polyakov action with metric and B-field, whose target space is a Jacobi manifold.

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Francesco Bascone, Franco Pezzella, Patrizia Vitale. 2020-07-24. Jacobi sigma models. https://doi.org/10.1007/jhep03(2021)110

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