nLab Vladimir A. Fateev

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Selected writings

A precursor result to the hypergeometric construction of KZ solutions, specifically of conformal blocks for affine Lie algebra/WZW-model-2d CFTs:

• Vladimir S. Dotsenko, Vladimir A. Fateev, Conformal algebra and multipoint correlation functions in 2D statistical models, Nuclear Physics B 240 3 (1984) 312-348 $[$doi:10.1016/0550-3213(84)90269-4]

Introducing parafermion 2d CFT:

• Alexander B. Zamolodchikov, Vladimir A. Fateev Nonlocal (parafermion) currents in two-dimensional conformal quantum field theory and self-dual critical points in $Z_N$-symmetric statistical systems, Sov. Phys. JETP 62 2 (1985) 215-225 $[$pdf, osti:5929972]

Introducing $W_N$-algebras:

• Vladimir A. Fateev, Alexander B. Zamolodchikov: Conformal quantum field theory models in two dimensions having $\mathbb{Z}_3$ symmetry, Nuclear Physics B 280 (1987) 644-660 [doi:10.1016/0550-3213(87)90166-0]

• Vladimir A. Fateev, Sergei L. Lukyanov: The Models of Two-Dimensional Conformal Quantum Field Theory with $Z_n$ Symmetry, Int. J. Mod. Phys. A 3 (1988) 507 [doi:10.1142/S0217751X88000205]

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