Noncommutative double geometry

Kodžoman, Toni; Lescano, Eric (2024) Noncommutative double geometry. Physical Review D, 109 (4). ISSN 2470-0010

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Abstract

We construct noncommutative theories with the Moyal-Weyl product in the double field theory (DFT) framework. We deform the infinitesimal generalized diffeomorphisms and the Leibniz rule in a consistent way. The prescription requires a generalized star metric, which can be thought of as the fundamental double metric, in order to construct the action. Finally we use the generalized scalar field dynamics and the generalized scalar field-perfect fluid correspondence to construct the generalized energy-momentum tensor of a perfect fluid in the noncommutative double geometry. The present formalism paves the way to the study of string cosmologies scenarios including the Moyal-Weyl product in a T-duality invariant way.

Item Type:	Article
Uncontrolled Keywords:	non-commutative; double field theory; Riemannian; Moyal-Weyl product
Subjects:	NATURAL SCIENCES NATURAL SCIENCES > Physics NATURAL SCIENCES > Physics > Physics of Elementary Particles and Fields
Divisions:	Theoretical Physics Division
Depositing User:	Kristina Ciglar
Date Deposited:	05 Sep 2024 12:39
URI:	http://fulir.irb.hr/id/eprint/9064
DOI:	10.1103/PhysRevD.109.046014

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