Some Noncommutative Multi-instantons from Vortices in Curved Space

Details Some Noncommutative Multi-instantons from Vortices in Curved Space Some Noncommutative Multi-instantons from Vortices in Curved Space

2002-07-19

arxiv.org/abs/hep-th/0207180v1

Phys.Lett. B543 (2002) 235-240

Physics

High Energy Physics

High Energy Physics - Theory

10 pages. LaTeX

Scientific paper

We construct U(2) noncommutative multi-instanton solutions by extending Witten's ansatz [1] which reduces the problem of cylindrical symmetry in four dimensions to that of a set of Bogomol'nyi equations for an Abelian Higgsmodel in two dimensional curved space. Using the Fock space approach, we give explicit vortex solutions to the Bogomol'nyi equations and, from them, we present multi-instanton solutions.

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