Twist-field representations of W-algebras, exact conformal blocks and character identities
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.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- August 2018
- DOI:
- 10.1007/JHEP08(2018)108
- arXiv:
- arXiv:1705.00957
- Bibcode:
- 2018JHEP...08..108B
- Keywords:
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- Conformal and W Symmetry;
- Integrable Hierarchies;
- High Energy Physics - Theory;
- Mathematical Physics;
- Mathematics - Quantum Algebra;
- Mathematics - Representation Theory
- E-Print:
- 55 pages