417 citations · 2.1k across the 83 of their papers we have counts for
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Holomorphic matrix integrals
Giovanni Felder, Roman Riser
We study a class of holomorphic matrix models. The integrals are taken over middle dimensional cycles in the space of complex square matrices. As the size of the matrices tends to…
On the Globalization of Kontsevich's Star Product and the Perturbative Poisson Sigma Model
Alberto S. Cattaneo, Giovanni Felder
The globalization of Kontsevich's local formula (resp., the perturbative expansion of the Poisson sigma model) is described in down-to-earth terms.
Poisson sigma models and deformation quantization
Alberto S. Cattaneo, Giovanni Felder
This is a review aimed at a physics audience on the relation between Poisson sigma models on surfaces with boundary and deformation quantization. These models are topological open…
Correlation functions and boundary conditions in RCFT and three-dimensional topology
Giovanni Felder, Jürg Fröhlich, Jürgen Fuchs +1
We give a general construction of correlation functions in rational conformal field theory on a possibly non-orientable surface with boundary in terms of 3-dimensional topological…
The KZB equations on Riemann surfaces
Giovanni Felder
In this paper, based on the author's lectures at the 1995 les Houches Summer school, explicit expressions for the Friedan--Shenker connection on the vector bundle of WZW conformal…
Three formulas for eigenfunctions of integrable Schroedinger operators
Giovanni Felder, Alexander Varchenko
We give three formulas for meromorphic eigenfunctions (scattering states) of Sutherland's integrable N-body Schroedinger operators and their generalizations. The first is an explic…
Remarks on the structure constants of the Verlinde algebra associated to
Giovanni Felder, Alexander Varchenko
The structure constants of the Verlinde algebra as functions of either vanish or can be expressed after a change of variable as the weight function of a…
Integral representation of solutions of the elliptic Knizhnik--Zamolodchikov--Bernard equations
Giovanni Felder, Alexander Varchenko
We give an integral representation of solutions of the elliptic Knizhnik-Zamolodchikov-Bernard equations for arbitrary simple Lie algebras. If the level is a positive integer, we o…
Elliptic quantum groups
Giovanni Felder
This note for the Proceedings of the International Congress of Mathematical Physics gives an account of a construction of an ``elliptic quantum group'' associated with each simple…
Conformal blocks on elliptic curves and the Knizhnik--Zamolodchikov--Bernard equations
Giovanni Felder, Christian Wieczerkowski
We give an explicit description of the vector bundle of WZW conformal blocks on elliptic curves with marked points as subbundle of a vector bundle of Weyl group invariant vector va…
Conformal field theory and integrable systems associated with elliptic curves
Giovanni Felder
An elliptic version of quantum groups is proposed. It comes form the quantization of the Knizhnik-Zamolodchikov- Bernard equation on the torus. The relation with elliptic IRF model…
A simple construction of elliptic -matrices
Giovanni Felder, V. Pasquier
We show that Belavin's solutions of the quantum Yang--Baxter equation can be obtained by restricting an infinite -matrix to suitable finite dimensional subspaces. This infinite…