English

Some Noncommutative Multi-instantons from Vortices in Curved Space

High Energy Physics - Theory 2015-06-26 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/0207180,
  title  = {Some Noncommutative Multi-instantons from Vortices in Curved Space},
  author = {D. H. Correa and E. F. Moreno and F. A. Schaposnik},
  journal= {arXiv preprint arXiv:hep-th/0207180},
  year   = {2015}
}

Comments

10 pages. LaTeX

R2 v1 2026-07-22T15:12:07.946Z