Morita equivalence and duality

被引：139

作者：

Schwarz, A ^{[1
]}

机构：

[1] Univ Calif Davis, Dept Math, Davis, CA 95616 USA

来源：

NUCLEAR PHYSICS B | 1998年 / 534卷 / 03期

基金：

美国国家科学基金会;

关键词：

Matrix theory; duality; non-commutative torus; Morita equivalence;

D O I：

10.1016/S0550-3213(98)00550-1

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：

It was shown by Connes, Douglas, Schwarz. [hep-th/9711162] that one can compactify M(atrix) theory on a non-commutative torus Ts. We prove that compactifications on Morita equivalent tori are in some sense physically equivalent. This statement can be considered as a generalization of non-classical SL(2,Z)N duality conjectured by Connes, Douglas and Schwarz for compactifications on two-dimensional non-commutative tori. (C) 1998 Elsevier Science B.V.

引用

页码：720 / 738

页数：19