TY - BOOK
AU - Bai,Chengming
AU - Fuchs,Jürgen
AU - Huang,Yi-Zhi
AU - Kong,Liang
AU - Runkel,Ingo
AU - Schweigert,Christoph
ED - SpringerLink (Online service)
TI - Conformal Field Theories and Tensor Categories: Proceedings of a Workshop Held at Beijing International Center for Mathematical Research
T2 - Mathematical Lectures from Peking University,
SN - 9783642393839
AV - QC19.2-20.85
U1 - 519 23
PY - 2014///
CY - Berlin, Heidelberg
PB - Springer Berlin Heidelberg, Imprint: Springer
KW - Mathematics
KW - Associative rings
KW - Rings (Algebra)
KW - Category theory (Mathematics)
KW - Homological algebra
KW - Nonassociative rings
KW - Mathematical physics
KW - Mathematical Applications in the Physical Sciences
KW - Associative Rings and Algebras
KW - Category Theory, Homological Algebra
KW - Non-associative Rings and Algebras
KW - Mathematical Physics
N1 - From Hopf algebras to tensor categories -- Pattern-of-zeros approach to Fractional quantum Hall states and a classification of symmetric polynomial of infinite variables -- Virasoro central changes for Nichols algebras -- Logarithmic bulk and boundary conformal field theory and the full centre construction -- Logarithmic tensor category theory for generalized modules for a conformal vertex algebra, I: Introduction and strongly graded algebras and their generalized modules -- C2-cofinite w-algebras and their logarithmic representations -- C1-co_niteness and fusion products of vertex operator algebras
N2 - The present volume is a collection of seven papers that are either based on the talks presented at the workshop "Conformal field theories and tensor categories" held June 13 to June 17, 2011 at the Beijing International Center for Mathematical Research, Peking University, or are extensions of the material presented in the talks at the workshop. These papers present new developments beyond rational conformal field theories and modular tensor categories and new applications in mathematics and physics. The topics covered include tensor categories from representation categories of Hopf algebras, applications of conformal field theories and tensor categories to topological phases and gapped systems, logarithmic conformal field theories and the corresponding non-semisimple tensor categories, and new developments in the representation theory of vertex operator algebras. Some of the papers contain detailed introductory material that is helpful for graduate students and researchers looking for an introduction to these research directions. The papers also discuss exciting recent developments in the area of conformal field theories, tensor categories and their applications and will be extremely useful for researchers working in these areas
UR - http://dx.doi.org/10.1007/978-3-642-39383-9
ER -