TOPOLOGICAL REDUCTION OF 4D SYM TO 2D SIGMA-MODELS

被引:151
作者
BERSHADSKY, M
JOHANSEN, A
SADOV, V
VAFA, C
机构
[1] Lyman Laboratory of Physics, Harvard University, Cambridge
基金
美国国家科学基金会;
关键词
D O I
10.1016/0550-3213(95)00242-K
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
By considering a (partial) topological twisting of supersymmetric Yang-Mills compactified on a 2d space with 't Hooft magnetic flux tamed on we obtain a supersymmetric sigma-model in 2 dimensions. For N = 2 SYM this maps Donaldson observables on products of two Riemann surfaces to quantum cohomology ring of moduli space of flat connections on a Riemann surface. For N = 4 SYM it maps S-duality to T-duality for a-models on moduli space of solutions to Hitchin equations.
引用
收藏
页码:166 / 186
页数:21
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