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pro vyhledávání: '"Mulevicius, Vincentas"'
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 Drinfeld centres. We generalise this construction to lattice systems
Externí odkaz:
http://arxiv.org/abs/2309.05755
Autor:
Mulevicius, Vincentas
In Mulevi\v{c}ius-Runkel, arXiv:2002.00663, it was shown how a so-called orbifold datum $\mathbb{A}$ in a given modular fusion category (MFC) $\mathcal{C}$ produces a new MFC $\mathcal{C}_{\mathbb{A}}$. Examples of these associated MFCs include conde
Externí odkaz:
http://arxiv.org/abs/2206.02611
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 category ${\mathcal{C}}_{\mathcal{A}}$ constructed in Mulevi\v{c}ius-Runk
Externí odkaz:
http://arxiv.org/abs/2109.04754
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 Frobenius algebra over two commutative Frobenius algebras, we present an expli
Externí odkaz:
http://arxiv.org/abs/2105.04613
A generalised orbifold of a defect TQFT $\mathcal{Z}$ is another TQFT $\mathcal{Z}_{\mathcal{A}}$ obtained by performing a state sum construction internal to $\mathcal{Z}$. As an input it needs a so-called orbifold datum $\mathcal{A}$ which is used t
Externí odkaz:
http://arxiv.org/abs/2101.02482
Autor:
Mulevicius, Vincentas, Runkel, Ingo
An orbifold datum is a collection $\mathbb{A}$ of algebraic data in a modular fusion category $\mathcal{C}$. It allows one to define a new modular fusion category $\mathcal{C}_{\mathbb{A}}$ in a construction that is a generalisation of taking the Dri
Externí odkaz:
http://arxiv.org/abs/2010.00932
Autor:
Mulevicius, Vincentas, Runkel, Ingo
In Carqueville et al., arXiv:1809.01483, the notion of an orbifold datum $\mathbb{A}$ in a modular fusion category $\mathcal{C}$ was introduced as part of a generalised orbifold construction for Reshetikhin-Turaev TQFTs. In this paper, given a simple
Externí odkaz:
http://arxiv.org/abs/2002.00663
Autor:
Mulevicius, Vincentas, Runkel, Ingo
Publikováno v:
Quantum Topology. 13:459-523
In Carqueville et al., arXiv:1809.01483, the notion of an orbifold datum $\mathbb{A}$ in a modular fusion category $\mathcal{C}$ was introduced as part of a generalised orbifold construction for Reshetikhin-Turaev TQFTs. In this paper, given a simple
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Akademický článek
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