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arXiv · 2205.15324

$a$-Anomalous Interactions of the Holographic Dilaton

Csaba Csaki·Jay Hubisz·Ameen Ismail·Gabriele Rigo·Francesco Sgarlata
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Abstract

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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Csaba Csaki, Jay Hubisz, Ameen Ismail, Gabriele Rigo, Francesco Sgarlata. 2022-05-30. $a$-Anomalous Interactions of the Holographic Dilaton. https://doi.org/10.1103/physrevd.106.055004

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