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Generalized Calabi-Yau manifolds and the chiral de Rham complex
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy.
2010 (English)In: Advances in Mathematics, ISSN 0001-8708, E-ISSN 1090-2082, Vol. 223, no 5, 1815-1844 p.Article in journal (Refereed) Published
Abstract [en]

We show that the chiral de Rham complex of a generalized Calabi-Yau manifold carries N = 2 supersymmetry. We discuss the corresponding topological twist for this N = 2 algebra. We interpret this as an algeboid version of the super-Sugawara or Kac-Todorov construction.

Place, publisher, year, edition, pages
2010. Vol. 223, no 5, 1815-1844 p.
Keyword [en]
Supersymmetry, Generalized complex, Generalized Calabi-Yau, Vertex algebra, Chiral de Rham
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URN: urn:nbn:se:uu:diva-137872DOI: 10.1016/j.aim.2009.10.007ISI: 000274561600011OAI: oai:DiVA.org:uu-137872DiVA: diva2:378644
Available from: 2010-12-16 Created: 2010-12-16 Last updated: 2010-12-16Bibliographically approved

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