activity
19942023
most citedA path integral approach to the Kontsevich quantization formula

417 citations · 2.1k across the 83 of their papers we have counts for

collaborators
Showing 1999Show all

5 papers · 1 filter

hep-th1999★ 34 cited

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…

math.QA1999★ 122 cited

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…

math.QA1999★ 24 cited

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…

math.QA1999★ 417 cited

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…

math.QA1999

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…