19 citations · 55 across the 16 of their papers we have counts for
16 papers
Modular Functors with Singularities from Vertex Operator Algebras Beyond Rigidity and Finiteness
Lukas Müller, Lukas Woike
For a vertex operator algebra and a certain category of its modules, we propose a construction for spaces of conformal blocks organized into an open-closed modular functor with…
Topological defects in reflection positive topological field theories
Lukas Müller
Topological defects in quantum field theories are believed to assemble into higher categories with extra structure. This has been made precise for defects in - and -dimension…
A Higher Spin-Statistics Theorem for Invertible Quantum Field Theories
Cameron Krulewski, Lukas Müller, Luuk Stehouwer
We prove that every unitary invertible quantum field theory satisfies a generalization of the famous spin-statistics theorem. To formulate this extension, we define a `higher spin'…
Quantum-Inspired Fluid Simulation of 2D Turbulence with GPU Acceleration
Leonhard Hölscher, Pooja Rao, Lukas Müller +4
Tensor network algorithms can efficiently simulate complex quantum many-body systems by utilizing knowledge of their structure and entanglement. These methodologies have been adapt…
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…
Orbifold completion of 3-categories
Nils Carqueville, Lukas Müller
We develop a general theory of 3-dimensional ``orbifold completion'', to describe (generalised) orbifolds of topological quantum field theories as well as all their defects. Given…
The distinguished invertible object as ribbon dualizing object in the Drinfeld center
Lukas Müller, Lukas Woike
We prove that the Drinfeld center of a pivotal finite tensor category comes with the structure of a ribbon Grothendieck-Verdier category in the sense…
Classification of Consistent Systems of Handlebody Group Representations
Lukas Müller, Lukas Woike
The classifying spaces of handlebody groups form a modular operad. Algebras over the handlebody operad yield systems of representations of handlebody groups that are compatible wit…
The Diffeomorphism Group of the Solid Closed Torus and Hochschild Homology
Lukas Müller, Lukas Woike
We prove that for a self-injective ribbon Grothendieck-Verdier category in the sense of Boyarchenko-Drinfeld the cyclic action on the Hochschild complex of $\mathcal{…
Finite symmetries of quantum character stacks
Corina Keller, Lukas Müller
For a finite group , we study categorical factorisation homology on oriented surfaces equipped with principal -bundles, which `integrates' a (linear) balanced braided categor…
Cyclic framed little disks algebras, Grothendieck-Verdier duality and handlebody group representations
Lukas Müller, Lukas Woike
We characterize cyclic algebras over the associative and the framed little 2-disks operad in any symmetric monoidal bicategory. The cyclicity is appropriately treated in a coherent…
Smooth 2-Group Extensions and Symmetries of Bundle Gerbes
Severin Bunk, Lukas Müller, Richard J. Szabo
We study bundle gerbes on manifolds that carry an action of a connected Lie group . We show that these data give rise to a smooth 2-group extension of by the smooth 2-gr…
Dimensional Reduction, Extended Topological Field Theories and Orbifoldization
Lukas Müller, Lukas Woike
We prove a decomposition formula for the dimensional reduction of an extended topological field theory that arises as an orbifold of an equivariant topological field theory. Our de…
Symmetry defects and orbifolds of two-dimensional Yang-Mills theory
Lukas Müller, Richard J. Szabo, Lóránt Szegedy
We describe discrete symmetries of two-dimensional Yang-Mills theory with gauge group associated to outer automorphisms of , and their corresponding defects. We show that th…
Extended quantum field theory, index theory and the parity anomaly
Lukas Müller, Richard J. Szabo
We use techniques from functorial quantum field theory to provide a geometric description of the parity anomaly in fermionic systems coupled to background gauge and gravitational f…
A GNS construction of three-dimensional abelian Dijkgraaf-Witten theories
Lukas Müller, Christoph Schweigert
We give a detailed account of the so-called "universal construction" that aims to extend invariants of closed manifolds, possibly with additional structure, to topological field th…