Published April 1992
| Version v1
Journal article
Non-self-dual Yang-Mills connections with quadrupole symmetry
Creators
- 1. New York Univ., NY (United States). Courant Inst. of Mathematical Sciences
- 2. Missouri Univ., Columbia, MO (United States). Dept. of Mathematics
Description
We prove the existence of non-self-dual Yang-Mills connections on SU(2) bundles over the four-sphere, specifically on all bundles with second Chern number not equal ±1. We study connections equivariant under an SU(2) symmetry group to reduce the effective dimensionality from four to one, and then use variational techniques. The existence of non-self-dual SU(2) YM connections on the trivial bundle (second Chern number equals zero) has already been established by Sibner, Sibner, and Uhlenbeck via different methods. (orig.)
Additional details
Publishing Information
- Journal Title
- Communications in Mathematical Physics
- Journal Volume
- 145
- Journal Issue
- 2
- Series
- Commun. Math. Phys.
- Journal Page Range
- 363-391
- ISSN
- 0010-3616
- CODEN
- CMPHA
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 23037628
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ACTION INTEGRAL; ANALYTICAL SOLUTION; COMPACTIFICATION; DUALITY; FIELD EQUATIONS; FOUR-DIMENSIONAL CALCULATIONS; LAGRANGE EQUATIONS; LAGRANGIAN FIELD THEORY; METRICS; ONE-DIMENSIONAL CALCULATIONS; RIEMANN SPACE; SMOOTH MANIFOLDS; SU-2 GROUPS; SYMMETRY; TOPOLOGY; UNIFIED GAUGE MODELS; VARIATIONAL METHODS; YANG-MILLS THEORY
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; INTEGRALS; LIE GROUPS; MATHEMATICAL MANIFOLDS; MATHEMATICAL MODELS; MATHEMATICAL SPACE; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE MODELS; QUANTUM FIELD THEORY; SPACE; SU GROUPS; SYMMETRY GROUPS
Optional Information
- Contract/Grant/Project number
- Grant DMS-88-06731; DMS-88-01918