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

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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.

Original languageEnglish
Article number108
JournalJournal of High Energy Physics
Volume2018
Issue number8
DOIs
Publication statusPublished - 1 Aug 2018

Keywords

  • Conformal and W Symmetry
  • Integrable Hierarchies

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