Stability of a non-commutative Jackiw–Teitelboim gravity
Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, 04009, Leipzig, Germany
2 V.A. Fock Institute of Physics, St. Petersburg University, St. Petersburg, Russia
3 Instituto de Física, Unversidade de São Paulo, São Paulo, Brasil
* e-mail: Dmitri.Vassilevich@itp.uni-leipzig.de
Published online: 15 May 2006
We start with a non-commutative version of the Jackiw–Teitelboim gravity in two dimensions which has a linear potential for the dilaton fields. We study whether it is possible to deform this model by adding quadratic terms to the potential but preserving the number of gauge symmetries. We find that no such deformation exists (provided one does not twist the gauge symmetries).
© Springer-Verlag, 2006