3 citations · 3 across the 4 of their papers we have counts for
18 papers
Conformal Field Theories on the Two-Torus and Quotients of SL2(Z)
Antoine Coste, Giovanni Felder
We present remarkable properties of the groups SL2(Z/NZ) which might be useful in detailed studies of some quotients appearing in Conformal Field Theories.
Poincare-Birkhoff-Witt expansions of the canonical elliptic differential form
G. Felder, R. Rimanyi, A. Varchenko
We study the canonical U(\n)-valued elliptic differential form, whose projections to different Kac-Moody algebras are key ingredients of the hypergeometric integral solutions of el…
Multiplication Formulas for the Elliptic Gamma Function
G. Felder, A. Varchenko
The elliptic gamma function is a generalization of the Euler gamma function. Its trigonometric and rational degenerations are the Jackson q-gamma function and the Euler gamma funct…
Elliptic Selberg integrals and conformal blocks
Giovanni Felder, Laura Stevens, Alexander Varchenko
We present an elliptic version of Selberg's integral formula.
Modular transformations of the elliptic hypergeometric functions, Macdonald polynomials, and the shift operator
G. Felder, L. Stevens, A. Varchenko
We consider the space of elliptic hypergeometric functions of the sl_2 type associated with elliptic curves with one marked point. This space represents conformal blocks in the sl_…
Action of Coxeter groups on m-harmonic polynomials and KZ equations
Giovanni Felder, Alexander P. Veselov
The Matsuo-Cherednik correspondence is an isomorphism from solutions of Knizhnik-Zamolodchikov equations to eigenfunctions of generalized Calogero-Moser systems associated to Coxet…