Topology of the Gauge Group in Noncommutative Gauge Theory

2001/05/23 by Jeffrey A. Harvey, Harvey, Jeffrey A.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0105242

Latex, 10pp, For proceedings of Strings 2001, added references

arxiv created 2001/05/28 · arxiv updated 2009/11/30

Abstract

I argue that the gauge group of noncommutative gauge theory consists of maps into unitary operators on Hilbert space of the form u=1+K with K compact. Some implications of this proposal are outlined.

Related

• Gauge theories on noncommutative spaces
• Gauge Theory and Dirac Operator on Noncommutative Space II -Minkowskian and Euclidean Cases-
• The Topology of Gauge Groups
• An Introduction to Noncommutative Spaces and their Geometry
• Noncommutative Gauge Theory beyond the Canonical Case