Sheaves of N=2 supersymmetric vertex algebras on Poisson manifolds
2012 (English)In: Journal of Geometry and Physics, ISSN 0393-0440, Vol. 62, no 11, 2259-2278 p.Article in journal (Refereed) Published
We construct a sheaf of N = 2 vertex algebras naturally associated to any Poisson manifold. The relation of this sheaf to the chiral de Rham complex is discussed. We reprove the result about the existence of two commuting N = 2 superconformal structures on the space of sections of the chiral de Rham complex of a Calabi-Yau manifold, but now calculated in a manifest N = 2 formalism. We discuss how the semi-classical limit of this sheaf of N = 2 vertex algebras is related to the classical supersymmetric non-linear sigma model.
Place, publisher, year, edition, pages
2012. Vol. 62, no 11, 2259-2278 p.
Vertex algebra, SUSY vertex algebra, Poisson vertex algebra, Poisson geometry
Other Physics Topics
Research subject Theoretical Physics
IdentifiersURN: urn:nbn:se:uu:diva-159002DOI: 10.1016/j.geomphys.2012.07.003ISI: 000309083500012OAI: oai:DiVA.org:uu-159002DiVA: diva2:442084
FunderSwedish Research Council, 621-2008-4273