From Fuchsian differential equations to integrable QFT

V. V. Bazhanov*, S. L. Lukyanov

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    3 Citations (Scopus)

    Abstract

    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 account of the results announced in this communication is contained in separate publications (Bazhanov and Lukyanov 2014 arXiv:1310.4390 [hep-th] and Bazhanov et al 2014 J. High Energy Phys. JHEP09(2014)147).

    Original languageEnglish
    Article number462002
    JournalJournal of Physics A: Mathematical and Theoretical
    Volume47
    Issue number46
    DOIs
    Publication statusPublished - 21 Nov 2014

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