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arXiv · hep-th/9610242

Non-perturbative Quantum Theories and Integrable Equations

A. Marshakov
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Abstract

I review the appearance of classical integrable systems as an effective tool for the description of non-perturbative exact results in quantum string and gauge theories. Various aspects of this relation: spectral curves, action-angle variables, Whitham deformations and associativity equations are considered separately demonstrating hidden parallels between topological 2d string theories and naively non-topological 4d theories. The proofs are supplemented by explicit illustrative examples.

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A. Marshakov. 1996-10-30. Non-perturbative Quantum Theories and Integrable Equations. https://doi.org/10.1142/s0217751x97001109

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