Branes and integrability in the N=2 SUSY YM theory

Abstract

We suggest the brane interpretation of the integrable dynamics behind the exact solution to the N=2 SUSY YM theory. Degrees of freedom of the Calogero type integrable system responsible for the appearance of the spectral Riemann surfaces originate from the collective coordinates of the dynamical branes. The second Whitham type integrable system corresponds to the low energy scattering of branes similar to the scattering of the magnetic monopoles.

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