The L∞-structure of noncommutative gravity

Richard J. Szabo

The L_∞-structure of noncommutative gravity

Richard J. Szabo^*

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

4 Citations (Scopus)

Abstract

We summarise recent perspectives on symmetries of noncommutative field theories based on homotopy algebras. We show how these viewpoints naturally lead to a new class of noncommutative field theories which possess braided gauge symmetries, and explain in detail their uses in gravity. We review how these considerations lead to a new theory of noncommutative gravity in four dimensions within the Einstein-Cartan-Palatini formalism.

Original language	English
Article number	218
Journal	Proceedings of Science
Volume	406
Publication status	Published - 23 Nov 2022
Event	20th Hellenic School and Workshops on Elementary Particle Physics and Gravity 2021 - Corfu, Greece Duration: 29 Aug 2021 → 9 Oct 2021

ASJC Scopus subject areas

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Cite this

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title = "The L∞-structure of noncommutative gravity",

abstract = "We summarise recent perspectives on symmetries of noncommutative field theories based on homotopy algebras. We show how these viewpoints naturally lead to a new class of noncommutative field theories which possess braided gauge symmetries, and explain in detail their uses in gravity. We review how these considerations lead to a new theory of noncommutative gravity in four dimensions within the Einstein-Cartan-Palatini formalism.",

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AB - We summarise recent perspectives on symmetries of noncommutative field theories based on homotopy algebras. We show how these viewpoints naturally lead to a new class of noncommutative field theories which possess braided gauge symmetries, and explain in detail their uses in gravity. We review how these considerations lead to a new theory of noncommutative gravity in four dimensions within the Einstein-Cartan-Palatini formalism.

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M3 - Conference article

AN - SCOPUS:85143757925

SN - 1824-8039

VL - 406

JO - Proceedings of Science

JF - Proceedings of Science

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T2 - 20th Hellenic School and Workshops on Elementary Particle Physics and Gravity 2021

Y2 - 29 August 2021 through 9 October 2021

ER -

The L_∞-structure of noncommutative gravity

Abstract

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