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Noncommutative vortices and instantons from generalized Bose operators

Acharyya, Nirmalendu and Chandra, Nitin and Vaidya, Sachindeo (2011) Noncommutative vortices and instantons from generalized Bose operators. In: Journal of High Energy Physics (12). pp. 1-24.

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Abstract

Generalized Bose operators correspond to reducible representations of the harmonic oscillator algebra. We demonstrate their relevance in the construction of topologically non-trivial solutions in noncommutative gauge theories, focusing our attention to flux tubes, vortices, and instantons. Our method provides a simple new relation between the topological charge and the number of times the basic irreducible representation occurs in the reducible representation underlying the generalized Bose operator. When used in conjunction with the noncommutative ADHM construction, we find that these new instantons are in general not unitarily equivalent to the ones currently known in literature.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Springer.
Keywords: Solitons Monopoles and Instantons;Non-Commutative Geometry; Gauge Symmetry
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 17 Feb 2012 11:55
Last Modified: 24 Feb 2012 07:25
URI: http://eprints.iisc.ernet.in/id/eprint/43543

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