Noncommutative Vortices and Instantons from Generalized Bose Operators

Details Noncommutative Vortices and Instantons from Generalized Bose Operators Noncommutative Vortices and Instantons from Generalized Bose Operators

2011-09-16

arxiv.org/abs/1109.3703v2

JHEP 1112:110,2011

Physics

High Energy Physics

High Energy Physics - Theory

25 pages

Scientific paper

10.1007/JHEP12(2011)110

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.

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