D-branes and topological field theories

被引:372
作者
Bershadsky, M
Vafa, C
Sadov, V
机构
[1] INST ADV STUDY,SCH NAT SCI,PRINCETON,NJ 08540
[2] INST ADV STUDY,SCH MATH,PRINCETON,NJ 08540
基金
美国国家科学基金会;
关键词
D-branes; topological field theories; manifolds of exceptional holonomy;
D O I
10.1016/0550-3213(96)00026-0
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
In the presence of a D-brane a string theory develops a new subsector. We show that for curved D-branes the corresponding sector is a (partially twisted) topological field theory. We use this result to compute the degeneracy of 2-branes wrapped around K3 cycles as well as 3-branes wrapped around CY three-fold vanishing 3-cycles. in both cases we find the degeneracy is in accord with expectation. The counting of BPS states of a gas of 0-branes in the presence of a 4-brane in K3 is considered and it is noted that the effective 0-brane charge is shifted by 1, due to a quantum correction. This is in accord with string duality and the fact that the left-moving ground-state energy of the heterotic string starts at -1. We also show that all the three different topological twistings of four-dimensional N = 4 Yang-Mills theory do arise from curved 3-branes embedded in different spaces (Calabi-Yau manifolds and manifolds with exceptional holonomy groups).
引用
收藏
页码:420 / 434
页数:15
相关论文
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