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Enveloping algebra valued gauge transformations for non-abelian gauge groups on non-commutative spaces

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arxiv hep-th/0006246 v1 pith:OZJTIYVH submitted 2000-06-30 hep-th

classification hep-th
keywords gaugealgebrafieldvaluedcomponentsconstructedenvelopingnon-commutative
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An enveloping algebra valued gauge field is constructed, its components are functions of the Lie algebra valued gauge field and can be constructed with the Seiberg-Witten map. This allows the formulation of a dynamics for a finite number of gauge field components on non-commutative spaces.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. On a non-geometric approach to noncommutative gauge theories

    hep-th 2025-08 conditional novelty 6.0 of 10

    A non-geometric bootstrap on the Moyal plane produces noncommutative gauge theories and derives the U(N) fundamental restriction from the requirement that the conserved non-local current be Lie algebra valued.

  2. Noncommutative Gauge Theories and Gravity

    hep-th 2019-07 unverdicted novelty 2.0 of 10

    The paper reviews gauge-theoretic formulations of gravity in ordinary and noncommutative spaces based on the authors' earlier works.

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