Poisson Sigma Model with branes and hyperelliptic Riemann surfaces

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dc.creatorFerrario, Andrea
dc.date2007-09-05
dc.date2007-10-09
dc.date.accessioned2026-07-07T11:53:05Z
dc.date.available2026-07-07T11:53:05Z
dc.descriptionWe derive the explicit form of the superpropagators in presence of general boundary conditions (coisotropic branes) for the Poisson Sigma Model. This generalizes the results presented in Cattaneo and Felder's previous works for the Kontsevich angle function used in the deformation quantization program of Poisson manifolds without branes or with at most two branes. The relevant superpropagators for n branes are defined as gauge fixed homotopy operators of a complex of differential forms on n sided polygons P_n with particular "alternating" boundary conditions. In presence of more than three branes we use first order Riemann theta functions with odd singular characteristics on the Jacobian variety of a hyperelliptic Riemann surface (canonical setting). In genus g the superpropagators present g zero modes contributions.
dc.description26 pages, 3 figures. Notation fixed, Section 6.1 and Appendix C shortened, two references added
dc.identifierhttps://arxiv.org/abs/0709.0635
dc.identifierhttp://arxiv.org/abs/0709.0635
dc.identifierJ.Math.Phys.49:092301,2008
dc.identifierdoi:10.1063/1.2982234
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204412
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectComplex Variables
dc.subject81T45, 30f99
dc.titlePoisson Sigma Model with branes and hyperelliptic Riemann surfaces
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