Noncommutative Two Dimensional Gravities

Abstract

We give formulations of noncommutative two dimensional gravities in terms of noncommutative gauge theories. We survey their classical solutions and show that solutions of the corresponding commutative theories continue to be solutions in the noncommutative theories as well. We argue that the existence of ``twisted'' diffeomorphisms, recently introduced in hep-th/0504183, is crucial for this conclusion.

13 pages, LaTeX, corrected typos, added references

References in corpus (2)

• A Gravity Theory on Noncommutative Spaces
• Stability of a Noncommutative Jackiw-Teitelboim Gravity

Cited by in corpus (9)

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• Emergent Gravity from Noncommutative Spacetime
• Twisted Gauge Theories
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• Noncommutative BTZ Black Hole and Discrete Time
• Drinfeld Twist and General Relativity with Fuzzy Spaces
• Particle Classification and Dynamics in GL(2,C) Gravity
• Wilson Loops and Area-Preserving Diffeomorphisms in Twisted Noncommutative Gauge Theory