Published October 1984
| Version v1
Journal article
Monopoles and maps from S2 to S2; the topology of the configuration space
Description
The configuration space for the SU(2)-Yang-Mills-Higgs equations on R3 is shown to be homotopic to the space of smooth maps from S2 to S2. This configuration space indexes a family of twisted Dirac operators. The Dirac family is used to prove that the configuration space does not retract onto any subspace on which the SU(2)-Yang-Mills-Higgs functional is bounded. (orig.)
Additional details
Publishing Information
- Journal Title
- Commun. Math. Phys.
- Journal Volume
- 95
- Journal Issue
- 3
- Series
- CODEN: CMPHA.;Commun. Math. Phys.
- Journal Page Range
- 345-391
- ISSN
- 0010-3616
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 15070689
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DIFFERENTIAL TOPOLOGY; DIRAC OPERATORS; FIELD EQUATIONS; HIGGS MODEL; HILBERT SPACE; MONOPOLES; SU-2 GROUPS; THREE-DIMENSIONAL CALCULATIONS; TOPOLOGICAL MAPPING; YANG-MILLS THEORY
- Descriptors DEC
- BANACH SPACE; EQUATIONS; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATHEMATICS; PARTICLE MODELS; QUANTUM OPERATORS; SPACE; SU GROUPS; SYMMETRY GROUPS; TOPOLOGY; TRANSFORMATIONS