257 citations · 1.3k across the 46 of their papers we have counts for
48 papers
OPE and correlation functions in a generally covariant form
Arpit Das, Anatoly Konechny, Naveen Balaji Umasankar
In this paper we consider some general aspects of Euclidean conformal field theories on curved spaces of dimension . We first look at the OPE of scalar primary fields on co…
OPE in a generally covariant form
Anatoly Konechny
We discuss the general covariance of operator product expansion in D-dimensional Euclidean conformal field theories. We propose to organise the expansion in powers of geodesic dist…
On local fields invariant under the action of topological defects
Anatoly Konechny, Vasileios Vergioglou
In the context of rational conformal field theories (RCFT) we look into the problem of constructing and classifying pairs consisting of a local operator and a topological defect wh…
On fusing matrices associated with conformal boundary conditions
Anatoly Konechny, Vasileios Vergioglou
In the context of rational conformal field theories (RCFT) we look at the fusing matrices that arise when a topological defect is attached to a conformal boundary condition. We cal…
RG boundaries and Cardy's variational ansatz for multiple perturbations
Anatoly Konechny
We consider perturbations of 2D CFTs by multiple relevant operators. The massive phases of such perturbations can be labeled by conformal boundary conditions. Cardy's variational a…
Ising model in a boundary magnetic field with random discontinuities
Anatoly Konechny
We consider a two-dimensional Ising field theory on a space with boundary in the presence of a piecewise constant boundary magnetic field which is allowed to change value discontin…