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arXiv · 2510.01099

Setting $T^2$ free for braneworld holography

Nele Callebaut·Matteo Selle
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Abstract

We identify what has been referred to as 'cut-off CFT' in holographic braneworld with $T^2$ or $T\bar T$ theory (depending on the dimension of the bulk), so that the holographic dual of AdS-gravity with Neumann boundary conditions is a $T^2$-deformed CFT that is set free. After making statements that apply for general dimensions higher than three, we focus on the case of a three-dimensional bulk. We find from bulk arguments that the effective theory on the brane is governed by a $T\bar T$-like flow equation, such that under certain assumptions the effective gravity theory on the brane is given by a $T\bar T$-like deformed timelike Liouville theory, which limits to the description of the holographic Weyl anomaly for branes that approach the asymptotic boundary.

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Nele Callebaut, Matteo Selle. 2025-10-01. Setting $T^2$ free for braneworld holography. https://arxiv.org/abs/2510.01099

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