Towards integrable perturbation of 2d CFT on de Sitter space

Author:

Jäkel Christian D.,Tanimoto YohORCID

Abstract

AbstractWe 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 $$\hbox {U}(1)$$ U ( 1 ) -current net by a charged field with conformal dimension $$d < \frac{1}{4}$$ d < 1 4 . We show that the perturbing operators are defined on a dense domain.

Funder

Ministero dell’Universitá e della Ricerca

Universitá degli Studi di Roma Tor Vergata

Gruppo Nazionale per l’Analisi Matematica, la Probabilitá e le loro Applicazioni

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference26 articles.

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