9 papers
The Dehn Twist Action for Quantum Representations of Mapping Class Groups
Lukas Müller, Lukas Woike
We calculate the Dehn twist action on the spaces of conformal blocks of a not necessarily semisimple modular category. In particular, we give the order of the Dehn twists under the…
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…
A Classification of Modular Functors via Factorization Homology
Adrien Brochier, Lukas Woike
Modular functors are traditionally defined as systems of projective representations of mapping class groups of surfaces that are compatible with gluing. They can formally be descri…
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…