On the AKSZ formulation of the Poisson sigma model

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dc.creatorCattaneo, Alberto S.
dc.creatorFelder, Giovanni
dc.date2001-02-14
dc.date2001-02-26
dc.date.accessioned2026-07-07T04:40:09Z
dc.date.available2026-07-07T04:40:09Z
dc.descriptionWe review and extend the Alexandrov-Kontsevich-Schwarz-Zaboronsky construction of solutions of the Batalin-Vilkovisky classical master equation. In particular, we study the case of sigma models on manifolds with boundary. We show that a special case of this construction yields the Batalin-Vilkovisky action functional of the Poisson sigma model on a disk. As we have shown in a previous paper, the perturbative quantization of this model is related to Kontsevich's deformation quantization of Poisson manifolds and to his formality theorem. We also discuss the action of diffeomorphisms of the target manifolds.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0102108
dc.identifierhttp://arxiv.org/abs/math/0102108
dc.identifierLett.Math.Phys. 56 (2001) 163-179
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60940
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subject81T45 (Primary) 53D55, 58D30, 81T70 (Secondary)
dc.titleOn the AKSZ formulation of the Poisson sigma model
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