(a\)-Anomalous Interactions of the Holographic Dilaton

We explore higher-derivative terms in the low-energy effective action for the dilaton, the Goldstone boson of spontaneously broken scale invariance. Focusing on the simplest holographic realization of spontaneously broken scale invariance, the Randall-Sundrum (RS) scenario, we identify the nonlinear...

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Veröffentlicht in:arXiv.org 2022-05
Hauptverfasser: Csaki, Csaba, Hubisz, Jay, Ismail, Ameen, Rigo, Gabriele, Sgarlata, Francesco
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description We explore higher-derivative terms in the low-energy effective action for the dilaton, the Goldstone boson of spontaneously broken scale invariance. Focusing on the simplest holographic realization of spontaneously broken scale invariance, the Randall-Sundrum (RS) scenario, we identify the nonlinear action for the RS dilaton by integrating out Kaluza-Klein graviton modes. The coefficient of a particular four-derivative dilaton self-interaction can be identified with the Weyl \(a\)-anomaly of the dual conformal field theory, which we use to verify anomaly matching arguments. We also find novel, \(a\)-dependent couplings of the dilaton to light matter fields. These anomalous interactions can have a significant effect on the collider phenomenology and the cosmology, potentially allowing us to probe the structure of the underlying conformal sector via low-energy physics. The dilaton effective theory also serves as an interesting scalar analog of gravity, and we study solutions to the equation of motion that parallel black holes and cosmologies.
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subjects Cosmology
Couplings
Dilatons
Equations of motion
Field theory
Gravitons
Holography
Invariance
Phenomenology
Physics - High Energy Physics - Phenomenology
Physics - High Energy Physics - Theory
Scale invariance
title (a\)-Anomalous Interactions of the Holographic Dilaton
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