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A generalization of the Dotsenko-Fateev integral

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Abstract

The Dotsenko-Fateev integral, an analytic function of one complex variable arising in conformal field theory, is generalized in a natural way to an analytic function of two complex variables. A system of partial differential equations and a Pfaffian system of Fuchsian type are derived for this generalized Dotsenko- Fateev integral. The Fuchsian system permits to obtain local expansions of solutions in the neighborhoods of singularities of the system.

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References

  1. V. S. Dotsenko and V. A. Fateev, Nucl. Phys. B 240 (3), 312–348 (1984).

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Authors and Affiliations

  1. Moscow Aviation Institute (National Research University), Moscow, Russia

    V. A. Golubeva

  2. National Research University “Higher School of Economics,”, Moscow, Russia

    A. N. Ivanov

Authors
  1. V. A. Golubeva
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  2. A. N. Ivanov
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Corresponding author

Correspondence to V. A. Golubeva.

Additional information

Original Russian Text © V.A. Golubeva, A.N. Ivanov, 2016, published in Doklady Akademii Nauk, 2016, Vol. 471, No. 5, pp. 520–522.

The article was translated by the authors.

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Golubeva, V.A., Ivanov, A.N. A generalization of the Dotsenko-Fateev integral. Dokl. Math. 94, 673–675 (2016). https://doi.org/10.1134/S1064562416060223

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  • DOI: https://doi.org/10.1134/S1064562416060223

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