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This volume celebrates the 100th birthday of Professor Chen-Ning Frank Yang (Nobel 1957), one of the giants of modern science and a living legend. Starting with reminiscences of Yang's time at the research centre for theoretical physics at Stonybrook (now named C. N. Yang Institute) by his successor Peter van Nieuwenhuizen, the book is a collection of articles by world-renowned mathematicians and theoretical physicists. This emphasizes the Dialogue Between Physics and Mathematics that has been a central theme of Professor Yang’s contributions to contemporary science.
Fittingly, the contributions to this volume range from experimental physics to pure mathematics, via mathematical physics. On the physics side, the contributions are from Sir Anthony Leggett (Nobel 2003), Jian-Wei Pan (Willis E. Lamb Award 2018), Alexander Polyakov (Breakthrough Prize 2013), Gerard 't Hooft (Nobel 1999), Frank Wilczek (Nobel 2004), Qikun Xue (Fritz London Prize 2020), and Zhongxian Zhao (Bernd T. Matthias Prize 2015), covering an array of topics from superconductivity to the foundations of quantum mechanics. In mathematical physics there are contributions by Sir Roger Penrose (Nobel 2022) and Edward Witten (Fields Medal 1990) on quantum twistors and quantum field theory, respectively. On the mathematics side, the contributions by Vladimir Drinfeld (Fields Medal 1990), Louis Kauffman (Wiener Gold Medal 2014), and Yuri Manin (Cantor Medal 2002) offer novel ideas from knot theory to arithmetic geometry.
Inspired by the original ideas of C. N. Yang, this unique collection of papers by masters of physics and mathematics provides, at the highest level, contemporary research directions for graduate students and experts alike.
Frank Yang at Stony Brook and the Beginning of Supergravity (by Peter van Nieuwenhuizen).
A Stacky Approach to Crystals (by Vladimir Drinfeld).
The Potts Model, the Jones Polynomial and Link Homology (by Louis H. Kauffman).
The Penrose–Onsager–Yang Approach to Superconductivity and Superfluidity (by Anthony Leggett).
Quantum Operads (by Noémie Combe, Yuri I. Manin, Matilde Marcolli).
Quantum Computational Complexity with Photons and Linear Optics (by Jian-Wei Pan).
Quantized Twistors, G∗2, and the Split Octonions (by Roger Penrose).
Kronecker Anomalies and Gravitational Striction (by Alexander M. Polyakov, Fedor K. Popov).
Projecting Local and Global Symmetries to the Planck Scale (by Gerard ’t Hooft).
Gauge Symmetry in Shape Dynamics (by Frank Wilczek).
Why Does Quantum Field Theory in Curved Spacetime Make Sense? And What Happens to the Algebra of Observables in the Thermodynamic Limit? (by Edward Witten).
Quantum Anomalous Hall Effect (by Qikun Xue).
Magic Superconducting States in Cuprates (by Jiangping Hu, Xiaoli Dong, Zhongxian Zhao)