Seiberg-Witten Solution from Matrix Theory

TL;DR

This paper demonstrates how integrable Hamiltonian systems emerge from BPS states in matrix theory, linking them to Hitchin systems and four-dimensional N=2 gauge theories, supporting the matrix M-theory formulation.

Contribution

It reveals the connection between BPS bound states in matrix theory and integrable systems, providing a new perspective on M-theory and gauge theory dualities.

Findings

Integrable Hamiltonian systems arise from BPS states of fivebranes.

Hitchin systems are derived from matrix theory compactifications.

The work supports the matrix Discrete Light Cone formulation of M theory.

Abstract

As another evidence for the matrix Discrete Light Cone formulation of M theory, we show how general integrable Hamiltonian systems emerge from BPS bound states of k longitudinal fivebranes. Such configurations preserve eight supercharges and by chain of dualities can be related to the solution of N=2 four-dimensional gauge theories. Underlying Hitchin systems on the bare spectral curve with k singular points arise from the Matrix theory compactification on the dual curve.