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2016

$W_4$ Toda example as hidden Liouville CFT

Furlan, P., Petkova, V. B.

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We construct correlators in the $W_4$ Toda 2d conformal field theory for a particular class of representations and demonstrate a relation to a $W_2$ (Virasoro) theory with different central charge.

The relevance of the classical limits of the constructed 3-point functions and braiding matrices to problems in 4d conformal theories is discussed.

$W_4$ Toda example as hidden Liouville CFT · Around

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V.A. Fateev V.A., Lukyanov S. The models of two-dimensional conformal quantum field theory with
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Furlan P., Ganchev A.Ch. , Paunov R., Petkova V.B. On the Drinfeld-Sokolov reduction of the Knizhnik-Zamolodchikov equation, // in the Proceedings of the
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Bowcock P., Watts G.M.T. Null vectors, 3-point and 4-point functions in conformal field theory, //Theor. Math. Phys. B. 1994. V. 98. P. 350-356, hep-th/9309146
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Baseilhac P, Fateev V.A. Expectation values of local fields for a two-parameter family of integrable models and related perturbed conformal field theories, // Nucl. Phys. B B. 1998. V. 532. P. 567-587, arXiv:hep-th/9906010
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