Non-perturbative Quantum Theories and Integrable Equations

Details Non-perturbative Quantum Theories and Integrable Equations Non-perturbative Quantum Theories and Integrable Equations

1996-10-30

arxiv.org/abs/hep-th/9610242v1

Int.J.Mod.Phys. A12 (1997) 1607-1650

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, LaTeX, to appear in Int.J.Mod.Phys. A

Scientific paper

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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