108 citations · 721 across the 34 of their papers we have counts for
12 papers · 1 filter
Looking for structure in the cobordism conjecture
David Andriot, Nils Carqueville, Niccolò Cribiori
The cobordism conjecture of the swampland program states that the bordism group of quantum gravity must be trivial. We investigate this statement in several directions, on both the…
Discrete torsion defects
Ilka Brunner, Nils Carqueville, Daniel Plencner
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 an…
A quick guide to defect orbifolds
Ilka Brunner, Nils Carqueville, Daniel Plencner
We provide a lightning review of the construction of (generalised) orbifolds [arXiv:0909.5013, arXiv:1210.6363] of two-dimensional quantum field theories in terms of topological de…
Orbifolds and topological defects
Ilka Brunner, Nils Carqueville, Daniel Plencner
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-Sch…
A toolkit for defect computations in Landau-Ginzburg models
Nils Carqueville, Daniel Murfet
We review the results of arXiv:1208.1481 on orientation reversal and duality for defects in topological Landau-Ginzburg models, with the intention of providing an easily accessible…
Algorithmic deformation of matrix factorisations
Nils Carqueville, Laura Dowdy, Andreas Recknagel
Branes and defects in topological Landau-Ginzburg models are described by matrix factorisations. We revisit the problem of deforming them and discuss various deformation methods as…
An invitation to algebraic topological string theory
Nils Carqueville, Michael M. Kay
The purpose of this note is to provide a short invitation to the universal algebraic approach to topological string theory. In the first section we make an attempt to explain the o…
Bulk deformations of open topological string theory
Nils Carqueville, Michael M. Kay
We present a general method to construct bulk-deformed open topological string theories from Landau-Ginzburg models. To this end we obtain a weak version of deformation quantisatio…
Rigidity and defect actions in Landau-Ginzburg models
Nils Carqueville, Ingo Runkel
Studying two-dimensional field theories in the presence of defect lines naturally gives rise to monoidal categories: their objects are the different (topological) defect conditions…
Remarks on quiver gauge theories from open topological string theory
Nils Carqueville, Alexander Quintero Velez
We study effective quiver gauge theories arising from a stack of D3-branes on certain Calabi-Yau singularities. Our point of view is a first principle approach via open topological…
Matrix factorisations and open topological string theory
Nils Carqueville
Amplitudes in open topological string theory may be described completely by certain A-infinity-categories. We detail a general construction of all cyclic minimal models for a given…
Triangle-generation in topological D-brane categories
Nils Carqueville
Tachyon condensation in topological Landau-Ginzburg models can generally be studied using methods of commutative algebra and properties of triangulated categories. The efficiency o…