… modules for the chiral algebra) because of the logarithmic tensor category theory of Huang,
… -semisimple or rigid braided tensor categories \({\mathcal {C}}\) of modules for the fixed-point …

… ( p ) -modules, and we prove that both tensor categories O M ( … extension theory to show that
the representation categories … Even the construction of logarithmic modules is a difficult task: …

… tensor category CV of V modules, then the category of W-modules that lie in CV is a vertex
tensor category … It is believed but unproven that the category of ordinary modules of the singlet …

… We aim to discuss braided tensor categories of finite length generalized modules for a general
affine … axiom in order to check the applicability of the logarithmic tensor category theory. …

… Schweigert’s work on logarithmic conformal field theory [FS10]. … separable modules and
separable tensor categories: … A finite module category CM over a semisimple tensor category is …

… existence of the logarithmic tensor categories constructed in [43… Virasoro module categories
have vertex tensor category … vertex tensor categories of relaxed highest-weight modules for …

… , meaning that we can apply tools from tensor category theory to … a category of (grading-restricted
generalized) V-modules that … and that tensor products are determined by (logarithmic) …

… is that braided tensor categories of modules of quantum … The theory developed at this point
can now be used to prove … braided tensor categories in the context of the logarithmic Kazhdan…

… tensor category of either $V$-modules or $C$-modules is … classify all inequivalent simple
modules for the other algebra … , Logarithmic tensor category theory for generalized modules …

… modules contained in V live in some braided tensor category … of braided tensor category
structure on modules for a vertex … on the (logarithmic) vertex tensor category theory of Huang-…