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Covariant Coordinate Transformations on Noncommutative Space

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arxiv hep-th/0111122 v1 pith:COFPWLAW submitted 2001-11-13 hep-th math-phmath.MP

R. Jackiw , S.-Y. Pi This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords coordinatespacetransformationscommutingconstructioncoordinatescovariantdefine
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We show how to define gauge-covariant coordinate transformations on a noncommuting space. The construction uses the Seiberg-Witten equation and generalizes similar results for commuting coordinates.

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  1. Geodesic deviation to all orders via a tangent bundle formalism

    gr-qc 2025-09 conditional novelty 7.0 of 10

    A tangent-bundle flow formalism yields an explicit all-orders formula for the Jacobi propagators in geodesic deviation, with the Lagrangian and equation of motion given explicitly up to tenth order.

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