Orbifold completion of defect bicategories
N Carqueville, I Runkel - Quantum Topology, 2016 - ems.press
Orbifolds of two-dimensional quantum field theories have a natural formulation in terms of
defects or domain walls. This perspective allows for a rich generalisation of the orbifolding …
defects or domain walls. This perspective allows for a rich generalisation of the orbifolding …
Topological defects
N Carqueville, M Del Zotto, I Runkel - arXiv preprint arXiv:2311.02449, 2023 - arxiv.org
This is a survey article for the Encyclopedia of Mathematical Physics, 2nd Edition.
Topological defects are described in the context of the 2-dimensional Ising model on the …
Topological defects are described in the context of the 2-dimensional Ising model on the …
A quick guide to defect orbifolds
I Brunner, N Carqueville, D Plencner - Proc. Symp. Pure Math, 2014 - books.google.com
We provide a lightning review of the construction of (generalised) orbifolds [FFRS2, CR2] of
two-dimensional quantum field theories in terms of topological defects, along the lines of …
two-dimensional quantum field theories in terms of topological defects, along the lines of …
Discrete torsion defects
I Brunner, N Carqueville, D Plencner - Communications in Mathematical …, 2015 - Springer
Orbifolding two-dimensional quantum field theories by a symmetry group can involve a
choice of discrete torsion. We apply the general formalism of 'orbifolding defects' to study …
choice of discrete torsion. We apply the general formalism of 'orbifolding defects' to study …
Orbifolds and topological defects
I Brunner, N Carqueville, D Plencner - Communications in Mathematical …, 2014 - Springer
We study orbifolds of two-dimensional topological field theories using defects. If the TFT
arises as the twist of a superconformal field theory, we recover results on the Neveu …
arises as the twist of a superconformal field theory, we recover results on the Neveu …
[HTML][HTML] 3-dimensional defect TQFTs and their tricategories
N Carqueville, C Meusburger, G Schaumann - Advances in Mathematics, 2020 - Elsevier
We initiate a systematic study of 3-dimensional 'defect'topological quantum field theories,
that we introduce as symmetric monoidal functors on stratified and decorated bordisms. For …
that we introduce as symmetric monoidal functors on stratified and decorated bordisms. For …
Introductory lectures on topological quantum field theory
N Carqueville, I Runkel - arXiv preprint arXiv:1705.05734, 2017 - arxiv.org
These notes offer a lightening introduction to topological quantum field theory in its functorial
axiomatisation, assuming no or little prior exposure. We lay some emphasis on the …
axiomatisation, assuming no or little prior exposure. We lay some emphasis on the …
Deformations of colored 𝔰𝔩N link homologies via foams
We prove a conjectured decomposition of deformed sl N link homology, as well as an
extension to the case of colored links, generalizing results of Lee, Gornik, and Wu. To this …
extension to the case of colored links, generalizing results of Lee, Gornik, and Wu. To this …
[HTML][HTML] Exponential growth of colored HOMFLY-PT homology
P Wedrich - Advances in Mathematics, 2019 - Elsevier
We define reduced colored gl N link homologies and use deformation spectral sequences to
characterize their dependence on color and rank. We then define reduced colored HOMFLY …
characterize their dependence on color and rank. We then define reduced colored HOMFLY …
Lecture notes on 2-dimensional defect TQFT
N Carqueville - arXiv preprint arXiv:1607.05747, 2016 - arxiv.org
These notes offer an introduction to the functorial and algebraic description of 2-dimensional
topological quantum field theorieswith defects', assuming only superficial familiarity with …
topological quantum field theorieswith defects', assuming only superficial familiarity with …