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Title: Geometry of hyperbolic monopoles

Abstract

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.

Authors:
Publication Date:
Research Org.:
Department of Mathematical Physics, St. Patrick's College, Maynooth, Ireland
OSTI Identifier:
5411927
Resource Type:
Journal Article
Journal Name:
J. Math. Phys. (N.Y.); (United States)
Additional Journal Information:
Journal Volume: 27:8
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; YANG-MILLS THEORY; INSTANTONS; MAGNETIC MONOPOLES; ANALYTICAL SOLUTION; FIELD EQUATIONS; GAUGE INVARIANCE; GEOMETRY; INVARIANCE PRINCIPLES; LIE GROUPS; SINGULARITY; SYMMETRY; ELEMENTARY PARTICLES; EQUATIONS; MATHEMATICS; MONOPOLES; POSTULATED PARTICLES; QUASI PARTICLES; SYMMETRY GROUPS; 645301* - High Energy Physics- Particle Invariance Principles & Symmetries- General- (-1987)

Citation Formats

Nash, C. Geometry of hyperbolic monopoles. United States: N. p., 1986. Web. doi:10.1063/1.526985.
Nash, C. Geometry of hyperbolic monopoles. United States. https://doi.org/10.1063/1.526985
Nash, C. 1986. "Geometry of hyperbolic monopoles". United States. https://doi.org/10.1063/1.526985.
@article{osti_5411927,
title = {Geometry of hyperbolic monopoles},
author = {Nash, C},
abstractNote = {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.},
doi = {10.1063/1.526985},
url = {https://www.osti.gov/biblio/5411927}, journal = {J. Math. Phys. (N.Y.); (United States)},
number = ,
volume = 27:8,
place = {United States},
year = {Fri Aug 01 00:00:00 EDT 1986},
month = {Fri Aug 01 00:00:00 EDT 1986}
}