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Matrix Bases for Star Products: a Review

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arxiv 1403.0808 v2 pith:J6XU3XH7 submitted 2014-03-04 hep-th

classification hep-th
keywords productsbasesmatrixreviewstaradaptedalgebraderivation
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abstract

We review the matrix bases for a family of noncommutative $\star$ products based on a Weyl map. These products include the Moyal product, as well as the Wick-Voros products and other translation invariant ones. We also review the derivation of Lie algebra type star products, with adapted matrix bases. We discuss the uses of these matrix bases for field theory, fuzzy spaces and emergent gravity.

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Cited by 1 Pith paper

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  1. A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors

    gr-qc 2025-01 conditional novelty 6.0 of 10

    A new state sum model for 4D Lorentzian quantum gravity is constructed from quantum edge vectors and related to the Barrett-Crane spin foam model.

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