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arXiv · 1011.0023

Noncommutative Particles in Curved Spaces

E. M. C. Abreu·R. Amorim·W. Guzmán Ramírez
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Abstract

We present a formulation in a curved background of noncommutative mechanics, where the object of noncommutativity $θ^{μν}$ is considered as an independent quantity having a canonical conjugate momentum. We introduced a noncommutative first-order action in D=10 curved spacetime and the covariant equations of motions were computed. This model, invariant under diffeomorphism, generalizes recent relativistic results.

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E. M. C. Abreu, R. Amorim, W. Guzmán Ramírez. 2010-11-17. Noncommutative Particles in Curved Spaces. https://doi.org/10.1007/jhep03(2011)135

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