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Noncommutative Two Dimensional Gravities

High Energy Physics - Theory 2008-11-26 v2 General Relativity and Quantum Cosmology Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.hep-th/0602265,
  title  = {Noncommutative Two Dimensional Gravities},
  author = {A. P. Balachandran and T. R. Govindarajan and K. S. Gupta and S. Kurkcuoglu},
  journal= {arXiv preprint arXiv:hep-th/0602265},
  year   = {2008}
}

Comments

13 pages, LaTeX, corrected typos, added references