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Conformal and non-conformal symmetries in 2D dilaton gravity

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Conformal and non-conformal symmetries in 2D dilaton gravity

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dc.contributor.author Cruz Muñoz, José Luis
dc.contributor.author Navarro Salas, José
dc.contributor.author Navarro Navarro, Miguel
dc.contributor.author Talavera Usano, César Félix
dc.date.accessioned 2014-03-21T08:57:57Z
dc.date.available 2014-03-21T08:57:57Z
dc.date.issued 1997
dc.identifier.citation Cruz Muñoz, José Luis Navarro Salas, José Navarro, M. Talavera Usano, Carlos Félix 1997 Conformal and non-conformal symmetries in 2D dilaton gravity Physics Letters B 402 3-4 270 275
dc.identifier.uri http://hdl.handle.net/10550/33638
dc.description.abstract We study finite-dimensional extra symmetries of generic 2D dilaton gravity models. Using a non-linear sigma model formulation we show that the unique theories admitting an extra (conformal) symmetry are the models with an exponential potential V∝eβϕ (S=12π∫d2x−g−−−√[Rϕ+4λ2eβϕ]), which include the CGHS model as a particular though limiting (β=0) case. These models give rise to black hole solutions with a mass-dependent temperature. The underlying extra symmetry can be maintained in a natural way in the one-loop effective action, thus implying the exact solubility of the semiclassical theory including back-reaction. Moreover, we also introduce three different classes of (non-conformal) transformations which are extra symmetries for generic 2D dilaton gravity models. Special linear combinations of these transformations turn out to be the (conformal) symmetries of the CGHS and V∝eβϕ models. We show that one of the non-conformal extra symmetries can be converted into a conformal one by means of adequate field redefinitions involving the metric and the derivatives of the dilaton. Finally, by expressing the Polyakov-Liouville effective action in terms of an invariant metric, we are able to provide semiclassical models which are also invariant. This generalizes the solvable semiclassical model of Bose, Parker and Peleg (BPP) for a generic 2D dilaton gravity model.
dc.relation.ispartof Physics Letters B, 1997, vol. 402, num. 3-4, p. 270-275
dc.subject Simetria (Física)
dc.subject Astronomia
dc.title Conformal and non-conformal symmetries in 2D dilaton gravity
dc.type journal article es_ES
dc.date.updated 2014-03-21T08:57:58Z
dc.identifier.doi 10.1016/S0370-2693(97)00458-9
dc.identifier.idgrec 081951
dc.rights.accessRights open access es_ES
dc.identifier.url 10.1016/S0370-2693(97)00458-9

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