BV & BFV for the H-twisted Poisson sigma model I: Essential formulas and geometric interpretations
| Autor: | Ikeda, Noriaki, Strobl, Thomas |
|---|---|
| Přispěvatelé: | Institut Camille Jordan [Villeurbanne] (ICJ), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet [Saint-Étienne] (UJM)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
topological field theories
[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] Hamiltonian sigma models supergeometry High Energy Physics::Theory Gauge symmetry curvature twist BV-formalism superfield field theory: vector Lie Mathematics::Symplectic Geometry sigma model: Poisson BFV-formalism antifield superspace |
| Popis: | We present the BFV- and the BV-extension of the Poisson sigma model (PSM) twisted by a closed 3-form $H$, i.e.\ of the HPSM. A novel feature in comparison to the standard PSM is that the superfield formulation of the BV- and the BFV-functionals needs terms containing the Euler vector field of the source manifold. Using an auxiliary connection $\nabla$ on the target manifold to globalize formulas, we obtain simple geometrical expressions for $S_{BFV}$ and $S_{BV}$ without the use of superfields, which seem new also for the ordinary PSM: The BV-functional of the HPSM, e.g., is expressed as the sum of its classical action, the Hamiltonian lift of the (only onshell-nilpotent) BRST-differential, and a term quadratic in the antifields which is essentially the basic curvature. This type of curvature measures the compatibility (in the sense of Blaom) of $\nabla$ with the Lie algebroid structure on $T^*M$ induced by the twisted Poisson structure. |
| Databáze: | OpenAIRE |
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