Articles

N = 2 SCVA’s FROM A GENERALIZED CALABI-YAU MANIFOLD AND MIRROR SYMMETRY

  • HU Sen ,
  • MA Wen-Ye ,
  • QIU Jing-Pei
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  • Department of Mathematics, University of Science and Technology of China, Hefei 230026, China USTC Shanghai Institute for Advanced Studies, Shanghai 201315, China

Received date: 2009-01-05

  Online published: 2009-07-20

Supported by

The work of Hu was supported in part by the NSFC (10771203)

Abstract

We construct an N = 2 superconformal vertex algebra(SCVA) from a gener-alized Calabi-Yau manifold and compute the BRST cohomology of its associated topolog-ical vertex algebras. We show that the BRST cohomology coincides with the generalized Dobeault cohomology. We show that the two topological vertex algebras constructed from the N = 2 SCVA by A and B twist respectively are mirror pairs.

Cite this article

HU Sen , MA Wen-Ye , QIU Jing-Pei . N = 2 SCVA’s FROM A GENERALIZED CALABI-YAU MANIFOLD AND MIRROR SYMMETRY[J]. Acta mathematica scientia, Series B, 2009 , 29(4) : 961 -972 . DOI: 10.1016/S0252-9602(09)60080-1

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