Published January 1991
| Version v1
Journal article
Metrics on the moduli spaces of instantons over Euclidean 4-space
Description
We prove that the natural hyper-Kaehler metrics on the moduli space of charge k instantons over Euclidean four-space and on the space of ADHM matrices coincide. We use this to deduce formulae relating expressions in the curvature of a connection to invariant polynomials in the ADHM matrices corresponding to this connection. These arise from consideration of the group of symmetries acting on the moduli spaces. (orig.)
Additional details
Publishing Information
- Journal Title
- Communications in Mathematical Physics
- Journal Volume
- 135
- Journal Issue
- 3
- Series
- Commun. Math. Phys.
- Journal Page Range
- 467-482
- ISSN
- 0010-3616
- CODEN
- CMPHA
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 22017244
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- COMPACTIFICATION; CONFORMAL GROUPS; CONFORMAL INVARIANCE; CONFORMAL MAPPING; EUCLIDEAN SPACE; FOUR-DIMENSIONAL CALCULATIONS; GAUGE INVARIANCE; INSTANTONS; MATRICES; METRICS; POLYNOMIALS; RIEMANN SPACE; SMOOTH MANIFOLDS; SO-3 GROUPS; SU GROUPS
- Descriptors DEC
- FUNCTIONS; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL MANIFOLDS; MATHEMATICAL SPACE; QUASI PARTICLES; SO GROUPS; SPACE; SYMMETRY GROUPS; TOPOLOGICAL MAPPING; TRANSFORMATIONS