Non-commutative geometry from 0-branes in a background B-field

被引:152
作者
Cheung, YKE [1 ]
Krogh, M [1 ]
机构
[1] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA
关键词
string theory; D-branes; non-commutative geometry; toroidal compactification; non-perturbative symmetries;
D O I
10.1016/S0550-3213(98)00380-0
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
We study O-branes in type IIA on T-2 With a background B-field turned on. This enables us to find the matrix model for M-theory on T-2 With a background 3-form potential along the torus and the lightlike circle. The theory is a non-local (2 + 1)-dimensional SYM theory on a dual T-2 exactly as proposed by Connes, Douglas and Schwarz. We calculate the radii and the gauge coupling for the SYM on the dual T-2 for all choices of longitudinal momentum and membrane wrapping number on the T-2. (C) 1998 Elsevier Science B.V.
引用
收藏
页码:185 / 196
页数:12
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