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

@article{Bershtein2017TwistfieldRO, title={Twist-field representations of W-algebras, exact conformal blocks and character identities}, author={Mikhail Bershtein and Pavlo Gavrylenko and Andrei Vladimirovich Marshakov}, journal={Journal of High Energy Physics}, year={2017}, volume={2018}, pages={1-56} }

A bstractWe 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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#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 59 REFERENCES

## Free fermions, W-algebras, and isomonodromic deformations

VIEW 3 EXCERPTS

## The operator algebra of orbifold models

VIEW 1 EXCERPT

## C=1 conformal field theories on Riemann surfaces

VIEW 1 EXCERPT

## Construction of the affine Lie algebraA1(1)

VIEW 2 EXCERPTS