7 papers
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…