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From Fuchsian differential equations to integrable QFT

Bazhanov, Vladimir; Lukyanov, Sergei L

Description

We establish an intriguing correspondence between a special set of classical solutions of the modified sinh-Gordon equation (i.e., Hitchins 'self-duality' equations) on a punctured Riemann sphere and a set of stationary states in the finite-volume Hilbert space of the integrable 2D quantum field theory introduced by VA Fateev. An application of this correspondence to the problem of non-perturbative quantization of classically integrable nonlinear sigma models is briefly discussed. A detailed...[Show more]

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
URI: http://hdl.handle.net/1885/76030
Source: Journal of Physics A: Mathematical and Theoretical
DOI: 10.1088/1751-8113/47/46/462002

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