Twisted Bundle on Noncommutative Space and U(1) Instanton
arXiv:hep-th/0003012
Abstract
We study the notion of twisted bundles on noncommutative space. Due to the existence of projective operators in the algebra of functions on the noncommutative space, there are twisted bundles with non-constant dimension. The U(1) instanton solution of Nekrasov and Schwarz is such an example. As a mathematical motivation for not excluding such bundles, we find gauge transformations by which a bundle with constant dimension can be equivalent to a bundle with non-constant dimension.
Lecture at APCTP-KIAS winter school on Strings and D-branes 2000. some mistakes corrected
References in corpus (8)
- D-branes and Deformation Quantization
- Noncommutative Geometry From Strings and Branes
- Noncommutative Gauge Theories in Matrix Theory
- Noncommutative Geometry and D-Branes
- Twisted Bundle On Quantum Torus and BPS States in Matrix Theory
- Space-Time Foam From Non-Commutative Instantons
- Matrix Theory in a Constant C Field Background
- Noncommutative Geometry and String Duality
Cited by in corpus (9)
- Introduction to M(atrix) theory and noncommutative geometry, Part II
- Introduction to M(atrix) theory and noncommutative geometry
- Topological Charge of U(1) Instantons
- Noncommutative Solitons and D-branes
- Equivalence of Projections as Gauge Equivalence on Noncommutative Space
- On Exact Noncommutative BPS Solitons
- Dp-D(p+4) in Noncommutative Yang-Mills
- Fluxons and Exact BPS Solitons in Non-Commutative Gauge Theory
- Projector Equivalences in K theory and Families of Non-commutative Solitons