Jacobi sigma models
arXiv:2007.12543 · doi:10.1007/JHEP03(2021)110
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.
arXiv comment22 pages. Latex2e. Corrections added. Reference added
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- Jacobi Sigma Models and Twisted Jacobi Structures