Vertex operator algebras are a class of algebras underlying a number of recent constructions, results, and themes in mathematics. These algebras can be understood as 'string-theoretic analogues' of Lie algebras and of commutative associative algebras. They play fundamental roles in some of the most active research areas in mathematics and physics. Much recent progress in both physics and mathematics has benefited from cross-pollination between the physical and mathematical points of view. This book presents the proceedings from the workshop, Vertex Operator Algebras in Mathematics and Physics, held at The Fields Institute.It consists of papers based on many of the talks given at the conference by leading experts in the algebraic, geometric, and physical aspects of vertex operator algebra theory. The book is suitable for graduate students and research mathematicians interested in the major themes and important developments on the frontier of research in vertex operator algebra theory and its applications in mathematics and physics.
Stephen Berman, MD, FAAP, is a past president of the American Academy of Pediatrics and professor of pediatrics at the University of Colorado School of Medicine. A practicing primary care pediatrician and book author, Dr Berman has served as special advisor to the World Health Organization, the Pan American Health Organization, and the US Agency for International Development, and lectures frequently at national and international pediatric meetings throughout the world.
Finiteness of conformal blocks over the projective line by T. Abe and K. Nagatomo Permutation orbifolds and their applications by P. Bantay Category theory for conformal boundary conditions by J. Fuchs and C. Schweigert GNAVOA, I. Studies in groups, nonassociative algebras and vertex operator algebras by R. L. Griess, Jr. Genera of vertex operator algebras and three-dimensional topological quantum field theories by G. Hohn Riemann surfaces with boundaries and the theory of vertex operator algebras by Y.-Z. Huang Vertex (operator) algebras are "algebras" of vertex operators by H. Li Correlation functions, differential operators and vertex operator algebras by A. Milas Relations for annihilating fields of standard modules for affine Lie algebras by M. Primc From branes to boundary conformal field theory: Draft of a dictionary by A. Recknagel Open strings and non-commutative geometry by V. Schomerus The world sheet revisited by C. Schweigert and J. Fuchs.