Ludwig Faddeev Memorial Volume

Ludwig Faddeev is widely recognized as one of the titans of 20th century mathematical physics. His fundamental contributions to scattering theory, quantum gauge theories, and the theory of classical and quantum completely integrable systems played a key role in shaping modern mathematical physics. Ludwig Faddeev's major achievements include the solution of the three-body problem in quantum mechanics, the mathematical formulation of quantum gauge theories and corresponding Feynman rules, Hamiltonian and algebraic methods in mathematical physics, with applications to gauge theories with anomalies, quantum systems with constraints and solitons, the discovery of the algebraic structure of classical and quantum integrable systems and quantum groups, and solitons with the topology of knots. Faddeev's name is imprinted in many areas of mathematics and theoretical physics, including "Faddeev's equations" and "Faddeev's Green function" in scattering theory, "Faddeev–Popov ghosts" and "Faddeev–Popov determinant" in gauge theories, "Gardner–Faddeev–Zakharov bracket" for the KdV equation, "Faddeev–Zamolodchikov algebra" in quantum integrable systems, "Faddeev–Reshetikhin–Takhtajan construction" in the theory of quantum groups, knotted solitons in the "Skyrme–Faddeev model" and many others. Ludwig Faddeev founded the St. Petersburg school of modern mathematical physics and distinguished himself by serving the mathematics community for over three decades including his leadership of the International Mathematical Union in the period of 1986–1990. He was conferred numerous prizes and memberships of prestigious institutions in recognition of the importance of his work. These include the Dannie Heineman Prize for Mathematical Physics, the Dirac Medal, the Max Planck Medal, the Shaw Prize and the Lomonosov Gold Medal among others. A gathering of contributions from some of the biggest names in mathematics and physics, this volume serves as a tribute to this legendary figure. Volume contributors include: Fields medalist Sir Michael Atiyah, Jürg Fröhlich, Roman Jackiw, Vladimir Korepin, Nikita Nekrasov, André Neveu, Alexander M Polyakov, Samson Shatashvili, Fedor Smirnov as well as Nobel laureates Frank Wilczek and C N Yang. "Ludwig and I had been good friends since the early 1970s. We had overlapping interests in several areas of physics. He was very powerful mathematically. I had written in several places that he should have shared the 1999 Nobel Prize in Physics with 't Hooft and Veltman" C N Yang, Nobel Laureate in Physics 1997 in Seoul. Faddeev with Baxter and Yang. 2005 in Tsinghua University. Left to right: Faddeev, Yang, Niemi and Ge. 2008 in Hong Kong. Faddeev with Yang. 2008 in Hong Kong. Faddeev was awarded a Shaw Prize in Mathematical Sciences. In the photograph, Faddeev was shaking hands with Sir R R Shaw. Contents: Personal Memories: Some Photographs with Ludwig Faddeev (C N Yang) Faddeev (R Jackiw and S-Y Pi) Ludvig Faddeev (O Lehto) Ludvig and Helsinki — A Personal Recollection (A J Niemi) Remembering Ludwig Dmitrievich Faddeev, Our Lifelong Partner in Mathematical Physics (D Sternheimer) A Friendly Ghost Story (F Wilczek) Scientific Papers: Coadjoint Orbits, Cocycles and Gravitational Wess–Zumino (A Alekseev and S L Shatashvili) K-Theory and the Jones Polynomial (M F Atiyah and C Zapata-Carratala) Baxter Operator and Baxter Equation for q–Toda and Toda2 Chains (O Babelon, K K Kozlowski and V Pasquier) Poisson Sigma Model and Semiclassical Quantization of Integrable Systems (A S Cattaneo, P Mnev and N Reshetikhin) Orthogonal Polynomials in Mathematical Physics (C-T Chan, A Mironov, A Morozov and A Sleptsov) OPE for XXX (P Di Francesco and F Smirnov) Chiral Anomaly, Topological Field Theory, and Novel States of Matter (J Fröhlich) On Some Hamiltonian Properties of the Isomonodromic Tau Functions (A R Its and A Prokhorov) Spectral Equations for the Modular Oscillator (R M Kashaev and S M Sergeev) Quantum Spectral Curve of γ-Twisted...