数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (4): 961-972.doi: 10.1016/S0252-9602(09)60080-1

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

胡森,马文晔,邱敬佩   

  1. Department of Mathematics, University of Science and Technology of China, Hefei 230026, China USTC Shanghai Institute for Advanced Studies, Shanghai 201315, China
  • 收稿日期:2009-01-05 出版日期:2009-07-20 发布日期:2009-07-20
  • 基金资助:

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

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

 HU Sen, MA Wen-Ye, QIU Jing-Pei   

  1. Department of Mathematics, University of Science and Technology of China, Hefei 230026, China USTC Shanghai Institute for Advanced Studies, Shanghai 201315, China
  • Received:2009-01-05 Online:2009-07-20 Published:2009-07-20
  • Supported by:

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

摘要:

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.

关键词: superconformal vertex algebra, generalized Calabi-Yau, mirror symmetry

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.

Key words: superconformal vertex algebra, generalized Calabi-Yau, mirror symmetry

中图分类号: 

  • 32Q25