Gauge and Einstein Gravity from Non-Abelian Gauge Models on Noncommutative Spaces

Sergiu I. Vacaru

Gauge and Einstein Gravity from Non-Abelian Gauge Models on Noncommutative Spaces

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arxiv hep-th/0009163 v1 pith:H6F5I3A3 submitted 2000-09-21 hep-th

Sergiu I. Vacaru This is my paper · ORCID

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keywords gaugenoncommutativespacesgravityalgebrasallowanalyzecalculus

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Following the formalism of enveloping algebras and star product calculus we formulate and analyze a model of gauge gravity on noncommutative spaces and examine the conditions of its equivalence to general relativity. The corresponding Seiberg-Witten maps are established which allow the definition of respective dynamics for a finite number of gravitational gauge field components on noncommutative spaces.

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Nonassociative gauge gravity theories with R-flux star products and Batalin-Vilkovisky quantization in algebraic quantum field theory
hep-th 2024-11 conditional novelty 5.0 of 10

The Batalin-Vilkovisky formalism is extended to nonassociative R-flux gauge gravity on cotangent Lorentz bundles, yielding formal classical and quantum master equations for parametric star product truncations.

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