Published March 15, 2006
| Version v1
Journal article
Atiyah-Drinfeld-Hitchin-Manin construction of noncommutative U(2) k-instantons
Creators
- 1. Laboratoire de physique theorique, Universite d'Oran Es-Senia, 31100 (Algeria)
Description
The basic objects of the Atiyah-Drinfeld-Hitchin-Manin (ADHM) construction are reformulated in terms of elements of the Aθ(R4) algebra of the noncommutative Rθ4 space. This new formulation of the ADHM construction makes possible the explicit calculus of the U(2) instanton number which is shown to be the product of a trace of a finite rank projector of the Fock representation space of the algebra Aθ(R4) times a noncommutative version of the winding number
Additional details
Identifiers
- DOI
- 10.1103/PhysRevD.73.065021;
- arXiv
- arXiv:hep-th/0510225v4;
Publishing Information
- Journal Title
- Physical Review. D, Particles Fields
- Journal Volume
- 73
- Journal Issue
- 6
- Journal Page Range
- p. 065021-065021.11
- ISSN
- 0556-2821
- CODEN
- PRVDAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37085908
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ALGEBRA; COMMUTATION RELATIONS; FOCK REPRESENTATION; GAUGE INVARIANCE; INSTANTONS; QUANTUM FIELD THEORY; SPACE; U-2 GROUPS; UNITARY SYMMETRY
- Descriptors DEC
- FIELD THEORIES; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICS; QUASI PARTICLES; SYMMETRY; SYMMETRY GROUPS; U GROUPS
Optional Information
- Notes
- (c) 2006 The American Physical Society