Exact solitons on noncommutative tori

Details Exact solitons on noncommutative tori Exact solitons on noncommutative tori

2001-04-10

arxiv.org/abs/hep-th/0104090v2

JHEP 0108:002,2001

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, JHEP style, typos corrected and references improved

Scientific paper

10.1088/1126-6708/2001/08/002

We construct exact solitons on noncommutative tori for the type of actions arising from open string field theory. Given any projector that describes an extremum of the tachyon potential, we interpret the remaining gauge degrees of freedom as a gauge theory on the projective module determined by the tachyon. Whenever this module admits a constant curvature connection, it solves exactly the equations of motion of the effective string field theory. We describe in detail such a construction on the noncommutative tori. Whereas our exact solution relies on the coupling to a gauge theory, we comment on the construction of approximate solutions in the absence of gauge fields.

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