Instantons on noncommutative R4 and projection operators

被引：89

作者：

Furuuchi, K ^{[1
]}

机构：

[1] Osaka Univ, Dept Phys, Toyonaka, Osaka 5600043, Japan

来源：

PROGRESS OF THEORETICAL PHYSICS | 2000年 / 103卷 / 05期

关键词：

D O I：

10.1143/PTP.103.1043

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The noncommutative version of ADHM construction of instantons, which was proposed by Nekrasov and Schwarz, is carefully studied, Noncommutative R-4 is described by an algebra of operators acting in a Fock space. In the ADHM construction of instantons, one looks for zero-modes of the Dirac-like operator. The feature peculiar to the noncommutative case is that these zero-modes project out some states in the Fock space. The mechanism of these projections is clarified in the case that the gauge group is U(1). In U(N) cases, it is shown in some explicit examples that projections similar to those in the U(1) cases also appear. A physical interpretation of these projections in the IIB matrix model is also discussed.

引用

页码：1043 / 1068

页数：26

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