Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 8, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP08(2018)108
Keywords
Conformal and W Symmetry; Integrable Hierarchies
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Funding
- RSF [16-11-10160]
- RFBR [17-01-00585]
- RFBR/JSPS joint project [17-51-50051]
- Russian Academic Excellence Project [5-100]
- Russian Science Foundation [16-11-10160] Funding Source: Russian Science Foundation
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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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