Non-linear sigma models via the chiral de Rham complex
2009 (English)In: Advances in Theoretical and Mathematical Physics, ISSN 1095-0761, E-ISSN 1095-0753, Vol. 13, no 4, 1221-1254 p.Article in journal (Refereed) Published
We propose a physical interpretation of the chiral de Rham complex as a formal Hamiltonian quantization of the supersymmetric non-linear sigma model. We show that the chiral de Rham complex on a Calabi-Yau manifold carries all information about the classical dynamics of the sigma model. Physically, this provides an opera- tor realization of the non-linear sigma model. Mathematically, the idea suggests the use of Hamiltonian flow equations within the vertex algebra formalism with the pos- sibility to incorporate both left and right moving sectors within one mathematical framework.
Place, publisher, year, edition, pages
2009. Vol. 13, no 4, 1221-1254 p.
Other Physics Topics
IdentifiersURN: urn:nbn:se:uu:diva-125405ISI: 000279344400006OAI: oai:DiVA.org:uu-125405DiVA: diva2:319544