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In the late 1980s he did research with Krzysztof Gawedzki and Antti Kupiainen on the geometry of the Wess-Zumino-Witten model in conformal field theory.[6][7] In 1989 he introduced a BRST approach to the "minimal two-dimensional conformal invariant models of Belavin, Polyakov and Zamolodchikov." With Alexander Varchenko and others, Felder did research on various integrable models in quantum field theory and statistical mechanics and resulting special functions (such as the elliptical gamma function, elliptic quantum groups, and elliptic Macdonald polynomials). With Alberto S. Cattaneo in 2000 he gave a path integral[disambiguation needed] interpretation of Kontsevich's deformation quantization of Poisson manifolds.
In 1994 Felder was an invited speaker with talk Conformal field theory and integrable systems associated to elliptic curves at the International Congress of Mathematicians in Zurich. In 2012 he was elected a full member of the Academia Europaea. He was elected a fellow of the American Mathematical Society in the Class of 2013 (announced in 2012).
In 1994 Felder was an invited speaker with talk Conformal field theory and integrable systems associated to elliptic curves at the International Congress of Mathematicians in Zurich. In 2012 he was elected a full member of the Academia Europaea. He was elected a fellow of the American Mathematical Society in the Class of 2013 (announced in 2012).
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arxiv(2024)
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AMERICAN JOURNAL OF MATHEMATICSno. 6 (2023): 1777-1886
arXiv (Cornell University) (2023)
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Selecta Mathematicano. 1 (2021): 1-64
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