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arXiv · hep-th/9710118

The N=2 supersymmetric Toda lattice and matrix models

L. Bonora·A. Sorin
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Abstract

We propose a new integrable N=2 supersymmetric Toda lattice hierarchy which may be relevant for constructing a supersymmetric one-matrix model. We define its first two Hamiltonian structures, the recursion operator and Lax--pair representation. We provide partial evidence for the existence of an infinite-dimensional N=2 superalgebra of its flows. We study its bosonic limit and introduce new Lax-pair representations for the bosonic Toda lattice hierarchy. Finally we discuss the relevance this approach for constructing N=2 supersymmetric generalized Toda lattice hierarchies.

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L. Bonora, A. Sorin. 1997-10-15. The N=2 supersymmetric Toda lattice and matrix models. https://doi.org/10.1016/s0550-3213(98)00223-5

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