Ghost-free, gauge invariant SVT generalizations of Horndeski theory

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Hauptverfasser: Mironov, S., Shtennikova, A., Valencia-Villegas, M.
Format: Preprint
Veröffentlicht: 2025
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author Mironov, S.
Shtennikova, A.
Valencia-Villegas, M.
author_facet Mironov, S.
Shtennikova, A.
Valencia-Villegas, M.
contents We analyze the generalizations of Kaluza--Klein compactifications of 5D Horndeski theory. They are Scalar--Vector--Tensor (SVT) theories with higher derivatives in the action, but with second order equations of motion. The vector field is invariant under a U(1) gauge transformation and the Scalar--Tensor sector corresponds to Horndeski theory. A subclass of these SVT theories is such that the Horndeski functions $G_4(π,X)$ and $G_5(π)$ remain free, while the speed of the tensor and vector modes is exactly the same. We show a subclass where the vector sector retains freedom through new functions of $π,\, X$ while the speed of the vector modes still tracks the speed of the tensor modes.
format Preprint
id arxiv_https___arxiv_org_abs_2509_16850
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Ghost-free, gauge invariant SVT generalizations of Horndeski theory
Mironov, S.
Shtennikova, A.
Valencia-Villegas, M.
High Energy Physics - Theory
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
We analyze the generalizations of Kaluza--Klein compactifications of 5D Horndeski theory. They are Scalar--Vector--Tensor (SVT) theories with higher derivatives in the action, but with second order equations of motion. The vector field is invariant under a U(1) gauge transformation and the Scalar--Tensor sector corresponds to Horndeski theory. A subclass of these SVT theories is such that the Horndeski functions $G_4(π,X)$ and $G_5(π)$ remain free, while the speed of the tensor and vector modes is exactly the same. We show a subclass where the vector sector retains freedom through new functions of $π,\, X$ while the speed of the vector modes still tracks the speed of the tensor modes.
title Ghost-free, gauge invariant SVT generalizations of Horndeski theory
topic High Energy Physics - Theory
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2509.16850