Subfactors, Twisted Equivariant K-theory and Conformal Field Theory (14rit179)

The Banff International Research Station will host the " Subfactors, Twisted Equivariant K-theory and Conformal Field Theory" workshop from to .

Conformal field theory can be analysed from a number of mathematical viewpoints namely nets of subfactors, vertex operator algebras and twisted equivariant K-theory. It is a challenge to find subfactors, vertex operator algebras which are truly beyond those provided by finite groups and the loop groups of compact Lie groups. We propose to study the modular tensor category of the double of the Haagerup subfactor or systems through twisted equivariant K-theory with the aim of deciding whether this can be achieved by combining the double of the symmetric or dihedral group S_3 and the loop group of SO(13) - having already shown that the modular data can be built up from these components. There are natural problems associated to generalisations to quadratic systems of near groups (which encompass the Haagerup as well as the Asaeda-Haagerup subfactor, recently shown by Grossman to be related to a near group system), which potentially generate infinite families of subfactors and conformal field theories.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).