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Showing 1 to 2 of 2 for “"Nahm transform"”.
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Analytic aspects of periodic instantons
The main result is a computation of the Nahm transform of a SU(2)-instanton over R x T³, called spatially-periodic instanton. It is a singular monopole over T³, a solution to the Bogomolny equation, whose rank is computed and behavior at the singular points is understood under certain conditions. A …
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Mathematical Aspects of Field Theory: Nahm's Equations and Jacobi Forms
… field theory. In the first project, we address Nahm's equations, which is an integrable system with a Lax pair. We consider boundary conditions on Nahm's equations that correspond to the Dirac multimonopole in Yang-Mills theory. The algebro-geometric integration method is to construct solutions …