10 citations · 26 across the 8 of their papers we have counts for
8 papers
Categorical 4-manifold invariants from trisection diagrams
Catherine Meusburger, Vincentas Mulevicius, Fiona Torzewska
We use Gay and Kirby's description of 4-manifolds in terms of trisections and trisection diagrams to define a new 4-manifold invariant. The algebraic data are an indecomposable fin…
Internal Levin-Wen models
Vincentas Mulevicius, Ingo Runkel, Thomas Voß
Levin-Wen models are a class of two-dimensional lattice spin models with a Hamiltonian that is a sum of commuting projectors, which describe topological phases of matter related to…
Condensation inversion and Witt equivalence via generalised orbifolds
Vincentas Mulevicius
In Mulevičius-Runkel, arXiv:2002.00663, it was shown how a so-called orbifold datum in a given modular fusion category (MFC) produces a new MFC $\mathcal…
Reshetikhin-Turaev TQFTs close under generalised orbifolds
Nils Carqueville, Vincentas Mulevicius, Ingo Runkel +2
We specialise the construction of orbifold graph TQFTs introduced in Carqueville et al., arXiv:2101.02482 to Reshetikhin-Turaev defect TQFTs. We explain that the modular fusion cat…
Domain walls between 3d phases of Reshetikhin-Turaev TQFTs
Vincent Koppen, Vincentas Mulevicius, Ingo Runkel +1
We study surface defects in three-dimensional topological quantum field theories which separate different theories of Reshetikhin-Turaev type. Based on the new notion of a Frobeniu…
Orbifold graph TQFTs
Nils Carqueville, Vincentas Mulevicius, Ingo Runkel +2
A generalised orbifold of a defect TQFT is another TQFT obtained by performing a state sum construction internal to . As an i…
Fibonacci-type orbifold data in Ising modular categories
Vincentas Mulevicius, Ingo Runkel
An orbifold datum is a collection of algebraic data in a modular fusion category . It allows one to define a new modular fusion category $\mathcal{C}_{\ma…
Constructing modular categories from orbifold data
Vincentas Mulevicius, Ingo Runkel
In Carqueville et al., arXiv:1809.01483, the notion of an orbifold datum in a modular fusion category was introduced as part of a generalised orbifold co…