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.
Jäkel, C.d., Tanimoto, Y. (2023). Towards integrable perturbation of 2d CFT on de Sitter space. LETTERS IN MATHEMATICAL PHYSICS, 113(4) [10.1007/s11005-023-01709-4].
Towards integrable perturbation of 2d CFT on de Sitter space
Tanimoto, Yoh
2023-01-01
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 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.File | Dimensione | Formato | |
---|---|---|---|
36_JT_TowardsIntegrablePerturbation.pdf
accesso aperto
Tipologia:
Versione Editoriale (PDF)
Licenza:
Creative commons
Dimensione
394.79 kB
Formato
Adobe PDF
|
394.79 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.