The Interface of Mathematics and Particle Physics (The ^AInstitute of Mathematics and its Applications Conference Series, New Series)

This comprehensive volume provides an exciting and up-to-date survey of the current research and advances in particle physics, with an emphasis on the crucial interaction between theoretical physics and mathematics. Internationally known experts including A. Connes, R. Penrose, Peter Goddard, and Alice Rogers give readers the latest information on quantum groups, instantons in Yang-Mills theories, conformal algebras, gauge theories, cyclic cohomology, rational conformal field theories, string theory, and twistors. Their contributions show how questions in physics have stimulated important advances in mathematics, which in turn have facilitated further theoretical progress in physics. The wide scope of the book makes it an invaluable collection for anyone working in either field.