Novel symmetry of non-Einsteinian gravity in two dimensions | Zendy

Harald Grosse | Zendy; Wolfgang Kummer | Zendy; P. Prešnajder | Zendy; Dominik J. Schwarz | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Novel symmetry of non-Einsteinian gravity in two dimensions

Author(s) -

Harald Grosse,

Wolfgang Kummer,

P. Prešnajder,

Dominik J. Schwarz

Publication year - 1992

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.529836

Subject(s) - casimir effect , hamiltonian (control theory) , torsion (gastropod) , mathematical physics , casimir element , mathematics , quadratic growth , algebra over a field , physics , phase space , pure mathematics , algebra representation , classical mechanics , mathematical analysis , cellular algebra , quantum mechanics , medicine , mathematical optimization , surgery

The integrability of $R^2$-gravity with torsion in two dimensions is tracedto an ultralocal dynamical symmetry of constraints and momenta in Hamiltonianphase space. It may be interpreted as a quadratically deformed$iso(2,1)$-algebra with the deformation consisting of the Casimir operators ofthe undeformed algebra. The locally conserved quantity encountered in theexplicit solution is identified as an element of the centre of this algebra.Specific contractions of the algebra are related to specific limits of theexplicit solutions of this model.Comment: 17 pages, TUW-92-04 (LaTeX

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research