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Gauged sigma-models with nonclosed 3-form and twisted Jacobi structures

Chatzistavrakidis, Athanasios; Šimunić, Grgur (2020) Gauged sigma-models with nonclosed 3-form and twisted Jacobi structures. The Journal of High Energy Physics, 2020 (11). ISSN 1126-6708

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We study aspects of two-dimensional nonlinear sigma models with Wess-Zumino term corresponding to a nonclosed 3-form, which may arise upon dimensional reduction in the target space. Our goal in this paper is twofold. In a first part, we investigate the conditions for consistent gauging of sigma models in the presence of a nonclosed 3-form. In the Abelian case, we find that the target of the gauged theory has the structure of a contact Courant algebroid, twisted by a 3-form and two 2-forms. Gauge invariance constrains the theory to (small) Dirac structures of the contact Courant algebroid. In the non-Abelian case, we draw a similar parallel between the gauged sigma model and certain transitive Courant algebroids and their corresponding Dirac structures. In the second part of the paper, we study two-dimensional sigma models related to Jacobi structures. The latter generalise Poisson and contact geometry in the presence of an additional vector field. We demonstrate that one can construct a sigma model whose gauge symmetry is controlled by a Jacobi structure, and moreover we twist the model by a 3- form. This construction is then the analogue of WZW- Poisson structures for Jacobi manifolds.

Item Type: Article
Uncontrolled Keywords: gauge symmetry ; sigma models ; differential and algebraic geometry ; topological field theories
Subjects: NATURAL SCIENCES > Physics
Divisions: Theoretical Physics Division
Project titleProject leaderProject codeProject type
Nove geometrije za gravitaciju i prostor-vrijemeChatzistavrakidis, AthanasiosIP-2018-01-7615HRZZ
Depositing User: Grgur Šimunić
Date Deposited: 16 Nov 2021 10:24
DOI: 10.1007/JHEP11(2020)173

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