2020/07/31 by Francesco Bascone, Franco Pezzella, Patrizia Vitale
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Gauge theory #Hamiltonian (control theory) #Homotopy and Cohomology in Algebraic Topology #Manifold (fluid mechanics) #Mathematical physics #Mathematics #Metric (unit) #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Sigma #Sigma model #Topology (electrical circuits) #hep-th #math-ph #math.MP
paper · pdf · doi:10.1007/jhep03(2021)110
published as J. High Energ. Phys. 2021, 110 · 22 pages. Latex2e. Corrections added. Reference added
openalex publication_date 2021/03/01 · arxiv created 2021/03/15 · arxiv updated 2021/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract 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.