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

作者：Hu Sen^*; Ma Wenye; Qiu Jingpei

来源：Acta Mathematica Scientia, 2009, 29(4): 961-972.

DOI：10.1016/s0252-9602(09)60080-1

• superconformal vertex algebra
• generalized Calabi-Yau
• mirror symmetry

We construct an N = 2 superconformal vertex algebra(SCVA) from a generalized Calabi-Yau manifold and compute the BRST cohomology of its associated topological 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.

• 出版日期2009-7
• 单位中国科学技术大学