Towards integrable perturbation of 2d CFT on de Sitter space

Abstract

We describe a procedure to deform the dynamics of a two-dimensional conformal net to possibly obtain a Haag–Kastler net on the de Sitter spacetime. The new dynamics is given by adding a primary field smeared on the time-zero circle to the Lorentz generators of the conformal net. As an example, we take an extension of the chiral hbox {U}(1)-current net by a charged field with conformal dimension d < frac{1}{4}. We show that the perturbing operators are defined on a dense domain.