Nonassociative Strict Deformation Quantization of C*-Algebras and Nonassociative Torus Bundles

被引：1

作者：

Hannabuss, Keith C. ^{[1
,2
]}

Mathai, Varghese ^{[3
]}

机构：

[1] Math Inst, Oxford OX1 3LB, England

[2] Univ Oxford Balliol Coll, Oxford OX1 3BJ, England

[3] Univ Adelaide, Dept Pure Math, Adelaide, SA 5005, Australia

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2012年 / 102卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

nonassociative strict deformation quantization; nonassociative torus; nonassociative torus bundles; T-duality; T-DUALITY; H-FLUXES; TOPOLOGY;

D O I：

10.1007/s11005-012-0574-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we initiate the study of nonassociative strict deformation quantization of C*-algebras with a torus action. We shall also present a definition of nonassociative principal torus bundles, and give a classification of these as nonassociative strict deformation quantization of ordinary principal torus bundles. We then relate this to T-duality of principal torus bundles with H-flux. In particular, the Octonions fit nicely into our theory.

引用

页码：107 / 123

页数：17

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