dorsal/arxiv
View SchemaThe Entire Four-Graviton EFT from the Duality Between Color and Kinematics
| Authors | John Joseph M. Carrasco, Sai Sasank Chava, Alex Edison, Eliseu Kloster, Suna Zekioğlu |
|---|---|
| Categories | |
| ArXiv ID | 2601.09815vv1 |
| URL | https://arxiv.org/abs/2601.09815 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
The Bern-Carrasco-Johansson (BCJ) double-copy construction reveals a fundamental structural connection between gauge and gravity theories. At its core, the BCJ double copy is directly due to a duality between the algebraic relations of a color root and those of a kinematic root. We generalize this principle beyond the conventional Lie algebra structure of tree-level Yang-Mills theory. By demanding color-kinematics duality for the complete basis of four-point color structures -- including those involving the symmetric $d^{abc}$ constants -- we define the universal double copy. We systematically classify the bases of all such parity-even generalized gauge-theory numerators and, independently, the space of all parity-even four-graviton higher-derivative operators. We demonstrate that our universal double-copy construction precisely spans the entire tower of parity-even four-graviton amplitudes in any dimension, except for the Lovelock $R^3$ contribution in $D >6$ which we can express in terms of a particularly simple universal triple-copy involving gauge theories coupled to scalars. Explicit machine-readable expressions for the complete basis of gauge-theory numerators and fundamental gravitational building blocks are provided in the ancillary files. This establishes that all possible four-point gravitational interactions can be factorized into products of gauge-theory building blocks governed by this universal notion of color-kinematics duality.
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"abstract": "The Bern-Carrasco-Johansson (BCJ) double-copy construction reveals a fundamental structural connection between gauge and gravity theories. At its core, the BCJ double copy is directly due to a duality between the algebraic relations of a color root and those of a kinematic root. We generalize this principle beyond the conventional Lie algebra structure of tree-level Yang-Mills theory. By demanding color-kinematics duality for the complete basis of four-point color structures -- including those involving the symmetric $d^{abc}$ constants -- we define the universal double copy. We systematically classify the bases of all such parity-even generalized gauge-theory numerators and, independently, the space of all parity-even four-graviton higher-derivative operators. We demonstrate that our universal double-copy construction precisely spans the entire tower of parity-even four-graviton amplitudes in any dimension, except for the Lovelock $R^3$ contribution in $D \u003e6$ which we can express in terms of a particularly simple universal triple-copy involving gauge theories coupled to scalars. Explicit machine-readable expressions for the complete basis of gauge-theory numerators and fundamental gravitational building blocks are provided in the ancillary files. This establishes that all possible four-point gravitational interactions can be factorized into products of gauge-theory building blocks governed by this universal notion of color-kinematics duality.",
"arxiv_id": "2601.09815",
"authors": [
"John Joseph M. Carrasco",
"Sai Sasank Chava",
"Alex Edison",
"Eliseu Kloster",
"Suna Zekio\u011flu"
],
"categories": [
"hep-th",
"gr-qc"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "The Entire Four-Graviton EFT from the Duality Between Color and Kinematics",
"url": "https://arxiv.org/abs/2601.09815",
"version": "v1"
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