14 papers · 1 filter
Modular Functors with Singularities from Vertex Operator Algebras Beyond Rigidity and Finiteness
Lukas Müller, Lukas Woike
For a vertex operator algebra and a suitable category of its modules, we propose a construction for spaces of conformal blocks organized into an open-closed modular functor wit…
Pivotal Module Categories, Factorization Homology and Modular Invariant Modified Traces
Jorge Becerra, Lukas Woike
The algebraic notion of a pivotal module category was developed by Schaumann and Shimizu and is central to the description of boundary conditions in conformal field theory accordin…
The Construction of Correlators in Finite Rigid Logarithmic Conformal Field Theory
Lukas Woike
For logarithmic conformal field theories whose monodromy data is given by a not necessarily semisimple modular category, we solve the problem of constructing and classifying the co…
Reflection Equivariance and the Heisenberg Picture for Spaces of Conformal Blocks
Lukas Woike
Monoidal product, braiding, balancing and weak duality are pieces of algebraic information that are well-known to have their origin in oriented genus zero surfaces and their mappin…
Modular functors from conformal blocks of rational vertex operator algebras
Chiara Damiolini, Lukas Woike
For a vertex operator algebra , one may naturally define spaces of conformal blocks following a construction of Frenkel-Ben-Zvi generalized by Damiolini-Gibney-Tarasca. If i…
Admissible Skein Modules and Ansular Functors: A Comparison
Lukas Müller, Lukas Woike
Given a finite ribbon category, which is a particular case of a cyclic algebra over the operad of genus zero surfaces, there are two possibilities for an extension defined on all t…