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

  • M. Bershtein
  • P. GavrylenkoEmail author
  • A. Marshakov
Open Access
Regular Article - Theoretical Physics


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.


Conformal and W Symmetry Integrable Hierarchies 


Open Access

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Landau Institute for Theoretical PhysicsChernogolovkaRussia
  2. 2.Center for Advanced Studies, SkoltechMoscowRussia
  3. 3.Department of Mathematics and Laboratory for Mathematical Physics, NRU HSEMoscowRussia
  4. 4.Institute for Information Transmission ProblemsMoscowRussia
  5. 5.Independent University of MoscowMoscowRussia
  6. 6.Bogolyubov Institute for Theoretical PhysicsKyivUkraine
  7. 7.Institute for Theoretical and Experimental PhysicsMoscowRussia
  8. 8.Theory Department of Lebedev Physics InstituteMoscowRussia

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