… some braided tensor structure, via the logarithmic tensor theory of … {C}\) of tensor categories
we mean a fully faithful tensor functor for … When \(\mathscr {D}\) is a finite tensor category this …

… tensor product V -module of two V -modules. For simplicity, we work with the category of lower
bounded generalized V -modules. … 0 ≤ arg z < 2π of the logarithm of z. For an intertwining …

… categories of generalized V -modules that admit braided tensor category structure induced
from vertex tensor … in terms of (logarithmic) intertwining operators among V -modules, whose …

… theory and show how it is related to subfactor theory. Appearance of a modular tensor category
through representation theory … of logarithmic conformal field theories that are based on …

… 't use tensor category theory and W k − 1 ( sl m + 2 , θ ) is described as Heisenberg coset of
the tensor … , this approach can be used for construction of relaxed and logarithmic modules. …

… all rational theories and also all logarithmic C2-cofinite theories such as … tensor categories
of modules of vertex operator algebras. We assume a basic familiarity with tensor categories …

… ] and discovered a mathematical structure now called modular tensor category (see [T] for
a … quantum field theories). In 1990, Zhu [Z] proved a special case of the modular invariance …

… involve the logarithm of the variable. We construct functors … categories of suitable
modules for these associative algebras and categories of suitable (logarithmic) g-twisted V -modules. …

… Our point of view is the one of module categories. In particular, we will regard a monoidal
category as a module category over itself. Specifically, a crucial ingredient is the structure of …

… First, we use the construction of certain logarithmic modules \({\mathcal {R}}_{r, p-1}\) for \(r=1,
2\) … Our results now allow the study of tensor categories that include relaxed highest-weight …