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arXiv · 2609.11643

Effective Dynamics of Inflationary End-of-the-World Branes in AdS$_3$

Kosei Fujiki·Michitaka Kohara·Jason Kristiano·Yu-ki Suzuki·Tadashi Takayanagi
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Abstract

We develop an effective description of a two-dimensional cosmological end-of-the-world brane embedded in AdS$_3$, with a scalar field localized on the brane. Integrating out bulk degrees of freedom, especially in the small-gradient regime, the effective action reduces to a Liouville-like theory coupled to the brane scalar. We then construct brane trajectories whose induced geometry realizes slow-roll inflation and reconstruct the associated scalar profile and potential. We also study regular Euclidean brane geometries that admit a smooth continuation to Lorentzian de Sitter and inflationary universes, and evaluate the semiclassical on-shell action for the de Sitter solution. Finally, we analyze linearized inhomogeneous perturbations and find no exponentially growing mode within the regime of validity of the approximation.

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Kosei Fujiki, Michitaka Kohara, Jason Kristiano, Yu-ki Suzuki, Tadashi Takayanagi. 2026-09-10. Effective Dynamics of Inflationary End-of-the-World Branes in AdS$_3$. https://arxiv.org/abs/2609.11643

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