ar X iv : h ep - t h / 06 06 09 9 v 1 1 1 Ju n 20 06 Vortex solutions in the noncommutative torus
نویسندگان
چکیده
Vortex configurations in the two-dimensional torus are considered in noncommu-tative space. We analyze the BPS equations of the Abelian Higgs model. Numerical solutions are constructed for the self-dual and anti-self dual cases by extending an algorithm originally developed for ordinary commutative space. We work within the Fock space approach to noncommutative theories and the Moyal-Weyl connection is used in the final stage to express the solutions in configuration space.
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