Finite-Dimensional AKSZ-BV Theories
2010 (English)In: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 94, no 2, 197-228 p.Article in journal (Refereed) Published
We describe a canonical reduction of AKSZ-BV theories to the cohomology of the source manifold. We get a finite-dimensional BV theory that describes the contribution of the zero modes to the full QFT. Integration can be defined and correlators can be computed. As an illustration of the general construction, we consider two-dimensional Poisson sigma model and three-dimensional Courant sigma model. When the source manifold is compact, the reduced theory is a generalization of the AKSZ construction where we take as source the cohomology ring. We present the possible generalizations of the AKSZ theory.
Place, publisher, year, edition, pages
2010. Vol. 94, no 2, 197-228 p.
topological quantum field theory, Batalin-Vilkovisky quantization, Poisson geometry, Courant geometry
Other Physics Topics
IdentifiersURN: urn:nbn:se:uu:diva-133724DOI: 10.1007/s11005-010-0423-3ISI: 000283511000005OAI: oai:DiVA.org:uu-133724DiVA: diva2:370942