Topological and dynamical aspects of Jacobi sigma models
| Autor: | Franco Pezzella, Francesco Bascone, Patrizia Vitale |
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| Přispěvatelé: | Bascone, F., Pezzella, F., Vitale, P. |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Jacobi manifolds
High Energy Physics - Theory Physics and Astronomy (miscellaneous) General Mathematics FOS: Physical sciences Sigma model Space (mathematics) Topology 01 natural sciences sigma models 0103 physical sciences QA1-939 Computer Science (miscellaneous) Gauge theory 0101 mathematics Mathematics::Symplectic Geometry Mathematical Physics Mathematics 010308 nuclear & particles physics 010102 general mathematics Jacobi manifold Topological string Sigma Mathematical Physics (math-ph) Manifold High Energy Physics - Theory (hep-th) Chemistry (miscellaneous) Phase space Homogeneous space Hamiltonian (control theory) Symplectic geometry |
| Zdroj: | Symmetry Volume 13 Issue 7 Symmetry, Vol 13, Iss 1205, p 1205 (2021) |
| Popis: | The geometric properties of sigma models with target space a Jacobi manifold are investigated. In their basic formulation, these are topological field theories - recently introduced by the authors - which share and generalise relevant features of Poisson sigma models, such as gauge invariance under diffeomorphisms and finite dimension of the reduced phase space. After reviewing the main novelties and peculiarities of these models, we perform a detailed analysis of constraints and ensuing gauge symmetries in the Hamiltonian approach. Contact manifolds as well as locally conformal symplectic manifolds are discussed, as main instances of Jacobi manifolds. 36 pages, Latex file. Text enlarged with introduction and final discussion reviewed |
| Databáze: | OpenAIRE |
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