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Multi-Galileons in Curved Space

2025/05/13 by Alice Garoffolo, Garoffolo, Alice, Kurt Hinterbichler +3
Engineering · #Control and Dynamics of Mobile Robots #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · pdf · doi:10.48550/arxiv.2505.08865

openalex publication_date 2025/05/13 · openalex created_date 2025/10/15 · openalex updated_date 2026/07/28

Abstract

Using the probe brane construction of higher derivative effective field theories, extended to higher co-dimensions and curved spaces, we construct galileon and DBI theories on de Sitter space with N fields and an so(N) internal symmetry, non-linearly realizing the symmetries of a higher dimensional de Sitter space. In some cases, the theory admits a non-trivial vacuum that spontaneously breaks the so(N) symmetry, and around this vacuum the Goldstone modes have vanishing kinetic terms and become infinitely strongly coupled. This gives an example of a scalar effective field theory with two de Sitter vacua, one of which appears to have Boulware-Deser-like ghosts, and one of which does not.

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