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arXiv · 1705.00957

Twist-field representations of W-algebras, exact conformal blocks and character identities

M. Bershtein·P. Gavrylenko·A. Marshakov
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Abstract

We study the twist-field representations of W-algebras and generalize construction of the corresponding vertex operators to D- and B-series. It is shown, how the computation of characters of these representations leads to nontrivial identities involving lattice theta-functions. We also propose a way to calculate their exact conformal blocks, expressing them for D-series in terms of geometric data of the corresponding Prym variety for covering curve with involution.

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M. Bershtein, P. Gavrylenko, A. Marshakov. 2017-05-02. Twist-field representations of W-algebras, exact conformal blocks and character identities. https://doi.org/10.1007/jhep08(2018)108

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