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Seiberg-Witten Theory, Symplectic Forms, and Hamiltonian Theory of Solitons

Eric D'Hoker·I. M. Krichever·D. H. Phong
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Abstract

This is an expanded version of lectures given in Hangzhou and Beijing, on the symplectic forms common to Seiberg-Witten theory and the theory of solitons. Methods for evaluating the prepotential are discussed. The construction of new integrable models arising from supersymmetric gauge theories are reviewed, including twisted Calogero-Moser systems and spin chain models with twisted monodromy conditions. A practical framework is presented for evaluating the universal symplectic form in terms of Lax pairs. A subtle distinction between a Lie algebra and a Lie group version of this symplectic form is clarified, which is necessary in chain models.

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Eric D'Hoker, I. M. Krichever, D. H. Phong. 2002-12-26. Seiberg-Witten Theory, Symplectic Forms, and Hamiltonian Theory of Solitons. https://arxiv.org/abs/hep-th/0212313

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