Stability of a Noncommutative Jackiw-Teitelboim Gravity

Abstract

We start with a noncommutative 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).

Added reference

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• Quantum aspects of a noncommutative supersymmetric kink
• Space-time noncommutativity with a bifermionic parameter
• Future singularity free accelerating expansion with the modified Poisson brackets
• Two non-commutative parameters and regular cosmological phase transition in the semi-classical dilaton cosmology
• Extended 2d generalized dilaton gravity theories