Duality transformation and conformal equivalent scalar–tensor theories
AffiliationUniv Arizona, Steward Observ
MetadataShow full item record
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
CitationGionti, G., & Paliathanasis, A. (2018). Duality transformation and conformal equivalent scalar–tensor theories. Modern Physics Letters A, doi:10.1142/S0217732318500931
JournalMODERN PHYSICS LETTERS A
Rights© 2018: World Scientific Publishing Company
Collection InformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at firstname.lastname@example.org.
AbstractWe deal with the duality symmetry of the dilaton field in cosmology and specifically with the so-called Gasperini-Veneziano duality transformation. In particular, we determine two conformal equivalent theories to the dilaton field, and we show that under conformal transformations Gasperini-Veneziano duality symmetry does not survive. Moreover, we show that those theories share a common conservation law, of Noetherian kind, while the symmetry vector which generates the conservation law is an isometry only for the dilaton field. Finally, we show that the Lagrangian of the dilaton field is equivalent with the two-dimensional "hyperbolic oscillator" in a Lorentzian space whose O(d, d) invariance is transformed into the Gasperini-Veneziano duality invariance in the original coordinates.
Note12 month embargo; published online: 28 May 2018
VersionFinal accepted manuscript