Chiral de Rham complex on Riemannian manifolds and special holonomy
2013 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 318, no 3, 575-613 p.Article in journal (Refereed) Published
Interpreting the chiral de Rham complex (CDR) as a formal Hamiltonian quantization of the supersymmetric non-linear sigma model, we suggest a setup for the study of CDR on manifolds with special holonomy. We discuss classical and partial quantum results. As a concrete example, we construct two commuting copies of the Odake algebra (an extension of the N=2 superconformal algebra) on the space of global sections of CDR of a Calabi-Yau 3-fold. This is the first example of such a vertex subalgebra which is non-linearly generated by a finite number of superfields.
Place, publisher, year, edition, pages
2013. Vol. 318, no 3, 575-613 p.
Other Physics Topics
Research subject Physics and Astronomy specializing in Theoretical Physics
IdentifiersURN: urn:nbn:se:uu:diva-151925DOI: 10.1007/s00220-013-1659-4ISI: 000315738300001OAI: oai:DiVA.org:uu-151925DiVA: diva2:411667