D-branes, RR-fields and duality on noncommutative manifolds

被引：35
|
作者：
Brodzki, Jacek [1 ]
Mathai, Varghese [2 ]
Rosenberg, Jonathan [3 ]
Szabo, Richard J. [4 ,5 ]
机构：
[1] Univ Southampton, Sch Math, Southampton SO17 1BJ, Hants, England
[2] Univ Adelaide, Dept Pure Math, Adelaide, SA 5005, Australia
[3] Univ Maryland, Dept Math, College Pk, MD 20742 USA
[4] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland
[5] Heriot Watt Univ, Maxwell Inst Math Sci, Edinburgh EH14 4AS, Midlothian, Scotland
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2008年 / 277卷 / 03期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1007/s00220-007-0396-y
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We develop some of the ingredients needed for string theory on noncommutative spacetimes, proposing an axiomatic formulation of T-duality as well as establishing a very general formula for D-brane charges. This formula is closely related to a noncommutative Grothendieck-Riemann-Roch theorem that is proved here. Our approach relies on a very general form of Poincare duality, which is studied here in detail. Among the technical tools employed are calculations with iterated products in bivariant K-theory and cyclic theory, which are simplified using a novel diagram calculus reminiscent of Feynman diagrams.
引用
收藏
页码：643 / 706
页数：64
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