Vertex algebras at the corner

D Gaiotto, M Rapčák - Journal of High Energy Physics, 2019 - Springer
A bstract We introduce a class of Vertex Operator Algebras which arise at junctions of
supersymmetric interfaces in\(\mathcal {N}\)= 4 Super Yang Mills gauge theory. These vertex …

Bootstrap equations for = 4 SYM with defects

P Liendo, C Meneghelli - Journal of High Energy Physics, 2017 - Springer
A bstract This paper focuses on the analysis of 4d\(\mathcal {N}\)= 4 superconformal theories
in the presence of a defect from the point of view of the conformal bootstrap. We will …

A QFT for non-semisimple TQFT

T Creutzig, T Dimofte, N Garner, N Geer - arXiv preprint arXiv:2112.01559, 2021 - arxiv.org
We construct a family of 3d quantum field theories $\mathcal T_ {n, k}^ A $ that conjecturally
provide a physical realization--and derived generalization--of non-semisimple mathematical …

Quantum integrability and functional equations: Applications to the spectral problem of AdS/CFT and two-dimensional sigma models

D Volin - Journal of Physics A: Mathematical and Theoretical, 2011 - iopscience.iop.org
In this review, a general procedure to represent the integral Bethe Ansatz equations in the
form of the Reimann–Hilbert problem is given. This allows us to study integrable spin chains …

Logarithmic conformal field theory: a lattice approach

AM Gainutdinov, JL Jacobsen, N Read… - Journal of Physics A …, 2013 - iopscience.iop.org
Logarithmic conformal field theories (LCFT) play a key role, for instance, in the description of
critical geometrical problems (percolation, self-avoiding walks, etc), or of critical points in …

Branes in JT (super) gravity from group theory

A Belaey, F Mariani, TG Mertens - Journal of High Energy Physics, 2024 - Springer
A bstract In this work, we revisit the end-of-the-world (EOW) brane amplitudes in JT gravity
from a BF gauge theoretic perspective. Observing and identifying the correct group theoretic …

The GL (1| 1) WZW-model: From supergeometry to logarithmic CFT

V Schomerus, H Saleur - Nuclear Physics B, 2006 - Elsevier
We present a complete solution of the WZW model on the supergroup GL (1| 1). Our analysis
begins with a careful study of its minisuperspace limit (“harmonic analysis on the …

Relating the archetypes of logarithmic conformal field theory

T Creutzig, D Ridout - Nuclear Physics B, 2013 - Elsevier
Logarithmic conformal field theory is a rich and vibrant area of modern mathematical physics
with well-known applications to both condensed matter theory and string theory. Our limited …

Bosonic Ghosts at c = 2 as a Logarithmic CFT

D Ridout, S Wood - Letters in Mathematical Physics, 2015 - Springer
Motivated by Wakimoto free field realisations, the bosonic ghost system of central charge c=
2 is studied using a recently proposed formalism for logarithmic conformal field theories …

Free fermion resolution of supergroup WZNW models

T Quella, V Schomerus - Journal of High Energy Physics, 2007 - iopscience.iop.org
Extending our earlier work on PSL (2| 2), we explain how to reduce the solution of WZNW
models on general type I supergroups to those defined on the bosonic subgroup. The new …