AKSZ construction from reduction data
2012 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 7, 068Article in journal (Refereed) Published
We discuss a general procedure to encode the reduction of the target space geometry into AKSZ sigma models. This is done by considering the AKSZ construction with target the BFV model for constrained graded symplectic manifolds. We investigate the relation between this sigma model and the one with the reduced structure. We also discuss several examples in dimension two and three when the symmetries come from Lie group actions and systematically recover models already proposed in the literature.
Place, publisher, year, edition, pages
Springer, 2012. no 7, 068
sigma model, symplectic, vector field theory, Poisson space, topological field theory, cohomology, zero mode, ghost, gauge fixing
Research subject Theoretical Physics
IdentifiersURN: urn:nbn:se:uu:diva-196352DOI: 10.1007/JHEP07(2012)068ISI: 000307298400068OAI: oai:DiVA.org:uu-196352DiVA: diva2:609968