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

doi:10.1016/S0252-9602(09)60080-1

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

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

胡森,马文晔,邱敬佩

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

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/Abstract

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:

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

中图分类号:

32Q25

胡森, 马文晔, 邱敬佩. N = 2 SCVA’s FROM A GENERALIZED CALABI-YAU MANIFOLD AND MIRROR SYMMETRY[J]. 数学物理学报(英文版), 2009, 29(4): 961-972.

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.

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

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

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