  A modular tensor category provides the appropriate data for the construction
of a three-dimensional topological field theory. We describe the following
analogue for two-dimensional conformal field theories: a 2-category whose
objects are symmetric special Frobenius algebras in a modular tensor category
and whose morphisms are categories of bimodules. This 2-category provides
sufficient ingredients for constructing all correlation functions of a
two-dimensional rational conformal field theory. The bimodules have the
physical interpretation of chiral data, boundary conditions, and topological
defect lines of this theory.

Category Theory;Quantum Algebra