417 citations · 2.1k across the 83 of their papers we have counts for
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The elliptic gamma function and SL(3,Z) x Z^3
Giovanni Felder, Alexander Varchenko
The elliptic gamma function is a generalization of the Euler gamma function and is associated to an elliptic curve. Its trigonometric and rational degenerations are the Jackson q-g…
Separation of variables for quantum integrable systems on elliptic curves
Giovanni Felder, Anke Schorr
We extend Sklyanin's method of separation of variables to quantum integrable models associated to elliptic curves. After reviewing the differential case, the elliptic Gaudin model…
A path integral approach to the Kontsevich quantization formula
Alberto S. Cattaneo, Giovanni Felder
We give a quantum field theory interpretation of Kontsevich's deformation quantization formula for Poisson manifolds. We show that it is given by the perturbative expansion of the…
Resonance Relations for Solutions of the Elliptic QKZB Equations, Fusion Rules, and Eigenvectors of Transfer Matrices of Restricted Interaction-round-a-face Models
Giovanni Felder, Alexander Varchenko
Conformal blocks for the WZW model on tori can be represented by vector valued Weyl anti-symmetric theta functions on the Cartan subalgebra satisfying vanishing conditions on root…