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Towards integrable perturbation of 2d CFT on de Sitter space

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arxiv 2301.12468 v4 pith:RDXBRDIR submitted 2023-01-29 math-ph math.MPmath.OAmath.RT

classification math-phmath.MPmath.OAmath.RT
keywords conformaldynamicsfieldsitteraddingchargedchiralcircle
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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 U(1)-current net by a charged field with conformal dimension d < 1/4. We show that the perturbing operators are defined on a dense domain.

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