Mapping relativistic to ultra/non-relativistic conformal symmetries in 2D and finite root T(T)over-bar deformations
| dc.contributor.author | Rodriguez, Pablo"Tempo, David"Troncoso, Ricardo | |
| dc.date | 2021 | |
| dc.date.accessioned | 2021-12-05T18:20:03Z | |
| dc.date.available | 2021-12-05T18:20:03Z | |
| dc.description.abstract | The conformal symmetry algebra in 2D (Diff(S-1)circle plus Diff(S-1)) is shown to be related to its ultra/non-relativistic version (BMS3 approximate to GCA(2)) through a nonlinear map of the generators, without any sort of limiting process. For a generic classical CFT2, the BMS3 generators then emerge as composites built out from the chiral (holomorphic) components of the stress-energy tensor, T and (T) over bar, closing in the Poisson brackets at equal time slices. Nevertheless, supertranslation generators do not span Noetherian symmetries. BMS3 becomes a bona fide symmetry once the CFT2 is marginally deformed by the addition of a root T (T) over bar term to the Hamiltonian. The generic deformed theory is manifestly invariant under diffeomorphisms and local scalings, but it is no longer a CFT2 because its energy and momentum densities fulfill the BMS3 algebra. The deformation can also be described through the original CFT2 on a curved metric whose Beltrami differentials are determined by the variation of the deformed Hamiltonian with respect to T and (T) over bar. BMS3 symmetries then arise from deformed conformal Killing equations, corresponding to diffeomorphisms that preserve the deformed metric and stress-energy tensor up to local scalings. As an example, we briefly address the deformation of N free bosons, which coincides with ultra-relativistic limits only for N = 1. Furthermore, Cardy formula and the S-modular transformation of the torus become mapped to their corresponding BMS3 (or flat) versions. | |
| dc.identifier.citation | JOURNAL OF HIGH ENERGY PHYSICS,Vol.,,2021 | |
| dc.identifier.doi | 10.1007/JHEP11(2021)133 | |
| dc.identifier.uri | https://repositoriodigital.uct.cl/handle/10925/4452 | |
| dc.language.iso | en | |
| dc.publisher | SPRINGER | |
| dc.source | JOURNAL OF HIGH ENERGY PHYSICS | |
| dc.subject.english | Conformal and W Symmetry | |
| dc.subject.english | Space-Time Symmetries | |
| dc.title | Mapping relativistic to ultra/non-relativistic conformal symmetries in 2D and finite root T(T)over-bar deformations | |
| dc.type | Article | |
| uct.indizacion | SCI |