Geometry of hyperbolic monopoles

Journal Article · Fri Aug 01 04:00:00 EDT 1986 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526985· OSTI ID:5411927

Nash, C

The hyperbolic monopoles of Atiyah (M. F. Atiyah, Commun. Math. Phys. 93, 471 (1984); ''Magnetic monopoles in hyperbolic space,'' in P-italicr-italico-italicc-italice-italice-italicd-italici-italicn-italicg-italics-italic o-italicf-italic t-italich-italice-italic I-italicn-italict-italice-italicr-italicn-italica-italict-italici-italico-italicn-italica-italicl-italic C-italico-italicl-italicl-italico-italicq-italicu-italici-italicu-italicm-italic o-italicn-italic V-italice-italicc-italict-italico-italicr-italic B-italicu-italicn-italicd-italicl-italice-italics-italic (Tata Institute, Bombay, 1984)) and Chakrabarti (A. Chakrabarti, J. Math. Phys. 27, 340 (1986)) are introduced and their geometric properties and relations to instantons and ordinary monopoles clarified. A key tool is the use of the ball model of hyperbolic space to construct and examine solutions.

• Research Organization: Department of Mathematical Physics, St. Patrick's College, Maynooth, Ireland
• OSTI ID: 5411927
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 27:8; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
ELEMENTARY PARTICLES
EQUATIONS
FIELD EQUATIONS
GAUGE INVARIANCE
GEOMETRY
INSTANTONS
INVARIANCE PRINCIPLES
LIE GROUPS
MAGNETIC MONOPOLES
MATHEMATICS
MONOPOLES
POSTULATED PARTICLES
QUASI PARTICLES
SINGULARITY
SYMMETRY
SYMMETRY GROUPS
YANG-MILLS THEORY