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arXiv · 2309.11539

Carrollian c-functions and flat space holographic RG flows in BMS3/CCFT2

Daniel Grumiller·Max Riegler
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Abstract

We discuss c-functions and their holographic counterpart for two-dimensional field theories with Carrollian conformal fixed points in the UV and the IR. Specifically, we construct asymptotically flat domain wall solutions of three-dimensional Einstein-dilaton gravity that model holographic RG flows between BMS3 invariant UV and IR fixed points. We prove three theorems for such flows: 1. for every holographic RG flow in AdS3, there is a corresponding one in flat space, 2. the BMS central charge in the UV cannot be smaller than in the IR, and 3. the UV/IR ratio of Virasoro central charges is identical to the UV/IR ratio of corresponding BMS central charges. Finally, we tentatively propose a Casini-Huerta-like c-functions for BMS3-invariant quantum field theories, inspired by the AdS3/CFT2 relation between monotonicity of the c-function and the quantum null energy condition.

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Daniel Grumiller, Max Riegler. 2023-09-20. Carrollian c-functions and flat space holographic RG flows in BMS3/CCFT2. https://arxiv.org/abs/2309.11539

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