New hyper-K{umlt a}hler manifolds by fixing monopoles

Journal Article · Tue Jul 01 00:00:00 EDT 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.56.1220· OSTI ID:527096

Houghton, C J ^[1]

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1. DAMTP, Silver Street, Cambridge, CB3 9EW (United Kingdom)

The construction of new hyper-K{umlt a}hler manifolds by taking the infinite monopole mass limit of certain Bogomol{close_quote}nyi-Prasad-Sommerfield monopole moduli spaces is considered. The one-parameter family of hyper-K{umlt a}hler manifolds due to Dancer is shown to be an example of such manifolds. A new family of fixed monopole spaces is constructed. They are the moduli spaces of four SU{sub 4} monopoles, in the infinite mass limit of two of the monopoles. These manifolds are shown to be nonsingular when the fixed monopole positions are distinct. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 527096
• Journal Information: Physical Review, D, Vol. 56, Issue 2; Other Information: PBD: Jul 1997
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
MONOPOLES
MATHEMATICAL MANIFOLDS
MAGNETIC MONOPOLES
HIGGS MODEL
MASS
SU-4 GROUPS
SU-3 GROUPS
SYMMETRY BREAKING
ROTATION
SINGULARITY
HIGGS BOSONS