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AKSZ construction from reduction data
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2012 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 7, 068Article in journal (Refereed) Published
Abstract [en]

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
Keyword [en]
sigma model, symplectic, vector field theory, Poisson space, topological field theory, cohomology, zero mode, ghost, gauge fixing
National Category
Subatomic Physics
Research subject
Theoretical Physics
URN: urn:nbn:se:uu:diva-196352DOI: 10.1007/JHEP07(2012)068ISI: 000307298400068OAI: oai:DiVA.org:uu-196352DiVA: diva2:609968
Available from: 2013-03-08 Created: 2013-03-08 Last updated: 2015-05-26Bibliographically approved

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Zabzine, Maxim
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