23 citations · 46 across the 10 of their papers we have counts for
12 papers
Defect flows from functional relations in the asymptotic semiring
Federico Ambrosino, Anatoly Konechny, Ingo Runkel +1
We study perturbations of topological defects by a relevant holomorphic defect field in two-dimensional conformal field theory. This produces translation invariant defects and thes…
Defects in skein theory and TQFT
Patrick Kinnear, Ingo Runkel
Given a 3-manifold with a network of line and point defects in its boundary, we define the skein module of this configuration, generalizing the well-studied case of 3-manifolds…
Non-semisimple CFT/TFT correspondence I: General setup
Aaron Hofer, Ingo Runkel
We extend the TFT construction of CFT correlators of [arXiv:hep-th/0204148] to so-called finite logarithmic CFTs for which the algebraic input data is no longer semisimple but stil…
Translation invariant defects as an extension of topological symmetries
Federico Ambrosino, Ingo Runkel, Gérard M. T. Watts
The modern way to understand symmetries of a quantum field theory is via its topological defects in various dimensions. In this contribution to the proceedings we focus on line def…
Analytic results in conformal field theory
Philine van Vliet, Emilio Trevisani, Ingo Runkel +4
Since the 1980s, many exact results have been discovered in CFT, from critical exponents to correlation functions to complete solutions of certain models. In , there is a…
Generalised Orbifolds and G-equivariantisation
Sebastian Heinrich, Julia Plavnik, Ingo Runkel +1
In a construction motivated by topological field theory, a so-called orbifold datum in a ribbon category allows one to define a new ribbon category $C_{\mathbb{A}}…
Non-local charges from perturbed defects via SymTFT in 2d CFT
Federico Ambrosino, Ingo Runkel, Gérard M. T. Watts
We investigate non-local conserved charges in perturbed two-dimensional conformal field theories from the point of view of the 3d SymTFT of the unperturbed theory. In the SymTFT we…
Lattice models from CFT on surfaces with holes II: Cloaking boundary conditions and loop models
Enrico M. Brehm, Ingo Runkel
In this paper we continue to investigate the lattice models obtained from 2d CFTs via the construction introduced in [arXiv:2112.01563]. On the side of the 2d CFT we consider the c…
Topological defects
Nils Carqueville, Michele Del Zotto, Ingo Runkel
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 lattice…
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…
Constructing Gauge Theory Geometries from Matrix Models
A. Klemm, K. Landsteiner, C. I. Lazaroiu +1
We use the matrix model -- gauge theory correspondence of Dijkgraaf and Vafa in order to construct the geometry encoding the exact gaugino condensate superpotential for the N=1 U(N…
Finite size effects in perturbed boundary conformal field theories
P. Dorey, M. Pillin, A. Pocklington +3
We discuss the finite-size properties of a simple integrable quantum field theory in 1+1 dimensions with non-trivial boundary conditions. Novel off-critical identities between cyli…