English

Jacobi Sigma Models and Twisted Jacobi Structures

High Energy Physics - Theory 2025-09-30 v2 Mathematical Physics math.MP

Abstract

Jacobi sigma models are two-dimensional topological non-linear field theories which are associated with Jacobi structures. The latter can be considered as a generalization of Poisson structures. After reviewing the main properties and peculiarities of these models, we focus on the twisted version in which a Wess-Zumino term is included. This modification allows for the target space to be a twisted Jacobi manifold. We discuss in particular the model on the sphere S5S^5.

Keywords

Cite

@article{arxiv.2404.00421,
  title  = {Jacobi Sigma Models and Twisted Jacobi Structures},
  author = {Francesco Bascone and Franco Pezzella and Patrizia Vitale},
  journal= {arXiv preprint arXiv:2404.00421},
  year   = {2025}
}

Comments

21 pages, published version with minor corrections and an additional reference

R2 v1 2026-06-28T15:39:11.866Z