Condensation inversion and Witt equivalence via generalised orbifolds
V Mulevicius - arXiv preprint arXiv:2206.02611, 2022 - arxiv.org
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 …
$\mathbb {A} $ in a given modular fusion category (MFC) $\mathcal {C} $ produces a new …
Spontaneous symmetry breaking from anyon condensation
A bstract In a physical system undergoing a continuous quantum phase transition,
spontaneous symmetry breaking occurs when certain symmetries of the Hamiltonian fail to …
spontaneous symmetry breaking occurs when certain symmetries of the Hamiltonian fail to …
Classification of connected\'etale algebras in modular fusion categories up to rank five
K Kikuchi - arXiv preprint arXiv:2312.13353, 2023 - arxiv.org
We classify connected\'etale algebras in (possibly non-unitary) modular fusion categories
$\mathcal B $'s with $\text {rank}(\mathcal B)\le5 $. We also comment on Lagrangian …
$\mathcal B $'s with $\text {rank}(\mathcal B)\le5 $. We also comment on Lagrangian …
Classification of connected\'etale algebras in pre-modular fusion categories up to rank three
K Kikuchi - arXiv preprint arXiv:2311.15631, 2023 - arxiv.org
We classify connected\'etale algebras $ A $'s in pre-modular fusion categories $\mathcal B $
with $\text {rank}(\mathcal B)\le3 $ including degenerate and non-(pseudo-) unitary ones …
with $\text {rank}(\mathcal B)\le3 $ including degenerate and non-(pseudo-) unitary ones …
Constructing modular categories from orbifold data
V Mulevičius, I Runkel - Quantum Topology, 2023 - content.ems.press
The notion of an orbifold datum A in a modular fusion category C was introduced as part of a
generalised orbifold construction for Reshetikhin–Turaev TQFTs by Carqueville, Runkel …
generalised orbifold construction for Reshetikhin–Turaev TQFTs by Carqueville, Runkel …
In and around Abelian anyon models
L Wang, Z Wang - Journal of Physics A: Mathematical and …, 2020 - iopscience.iop.org
Anyon models are algebraic structures that model universal topological properties in
topological phases of matter and can be regarded as mathematical characterization of …
topological phases of matter and can be regarded as mathematical characterization of …
Classification of connected\'etale algebras in multiplicity-free modular fusion categories up to rank nine
K Kikuchi - arXiv preprint arXiv:2404.16125, 2024 - arxiv.org
We classify connected\'etale algebras $ A $'s in multiplicity-free modular fusion categories
$\mathcal B $'s with $\text {rank}(\mathcal B)\le9 $. We also identify categories $\mathcal …
$\mathcal B $'s with $\text {rank}(\mathcal B)\le9 $. We also identify categories $\mathcal …
[HTML][HTML] Fusing binary interface defects in topological phases: The Z/pZ case
A binary interface defect is any interface between two (not necessarily invertible) domain
walls. We compute all possible binary interface defects in Kitaev's Z/p Z model and all …
walls. We compute all possible binary interface defects in Kitaev's Z/p Z model and all …
Domain Walls in Topological Phases and the Brauer–Picard Ring for
We show how to calculate the relative tensor product of bimodule categories (not
necessarily invertible) using ladder string diagrams. As an illustrative example, we compute …
necessarily invertible) using ladder string diagrams. As an illustrative example, we compute …
Fibonacci-type orbifold data in Ising modular categories
V Mulevičius, I Runkel - Journal of Pure and Applied Algebra, 2023 - Elsevier
An orbifold datum is a collection A of algebraic data in a modular fusion category C. It allows
one to define a new modular fusion category CA in a construction that is a generalisation of …
one to define a new modular fusion category CA in a construction that is a generalisation of …