Gauge theory solitons on noncommutative cylinder

Details Gauge theory solitons on noncommutative cylinder Gauge theory solitons on noncommutative cylinder

2003-01-08

arxiv.org/abs/hep-th/0301047v2

Theor.Math.Phys. 138 (2004) 269-283; Teor.Mat.Fiz. 138 (2004) 319-337

Physics

High Energy Physics

High Energy Physics - Theory

References added; to appear in Theor.Math.Phys

Scientific paper

10.1023/B:TAMP.0000015073.02483.

We generalize to noncommutative cylinder the solution generation technique, originally suggested for gauge theories on noncommutative plane. For this purpose we construct partial isometry operators and complete set of orthogonal projectors in the algebra of the cylinder, and an isomorphism between the free module and its direct sum with the Fock module on the cylinder. We construct explicitly the gauge theory soliton and evaluate the spectrum of perturbations about this soliton.

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