Stability of a Noncommutative Jackiw-Teitelboim Gravity
D. V. Vassilevich, R. Fresneda, D. M. Gitman
TL;DR
This paper investigates the stability of a noncommutative Jackiw-Teitelboim gravity model under potential deformations, concluding that quadratic terms cannot be added without breaking gauge symmetries.
Contribution
It demonstrates the non-existence of quadratic potential deformations in a noncommutative JT gravity model that preserve gauge symmetries.
Findings
Quadratic potential deformations are not possible without breaking gauge symmetry.
The model's gauge symmetry structure constrains potential modifications.
The study clarifies stability conditions for noncommutative 2D gravity models.
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).
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