From noncommutative Yang-Mills theory to noncommutative gravity through a classical double copy map

Jonke, Larisa; Lescano, Eric (2025) From noncommutative Yang-Mills theory to noncommutative gravity through a classical double copy map. Physical Review D, 111 (8). ISSN 2470-0010

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Official URL: http://doi.org/10.1103/physrevd.111.086031

Abstract

We compute the first nontrivial noncommutative correction to the Einstein-Hilbert Lagrangian, which arises from the double copy of noncommutative Yang-Mills theory (ncYM). We start by considering linear and quadratic theta-corrections up to cubic order in fields in ncYM theory and in arbitrary D dimensions. We compute the first nontrivial corrections to the three-points vertex operators and use them to construct a double copy theory of the form ncYM x ncYM. The resulting theory is given by a double geometrical formalism which includes noncommutative corrections to the perturbative cubic double field theory (DFT) formulation, where the star product of the theory is doubled in agreement with the doubling of the physical coordinates of the theory. Upon solving the level matching condition the noncommutative products are identified and they produced theta 2-corrections to the cubic DFT action. We analyze the pure gravitational limit of this formulation considering D = 4 and imposing the transverse-traceless gauge.

Item Type:

Article

Uncontrolled Keywords:

noncommutative deformation; double field theory; double copy; Gauge-gravity dualities; gravitational waves; non-abelian gauge theories; string dualities; supergravity

Subjects:

NATURAL SCIENCES > Physics > Physics of Elementary Particles and Fields

Divisions:

Theoretical Physics Division

Projects: