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Lifshitz Phase of Quantum Gravity: The Infrared Fixed Point of the (2+1)D Unimodular Hořava-Chern-Simons Model
Abstract
We consider a nonrelativistic gravity theory in (2+1) dimensions with w∞ gauge symmetry that we call unimodular Hořava-Chern-Simons gravity. The theory has three dimensionless couplings, one of which is the Chern-Simons level κ. At large |κ|, the theory flows from an asymptotically free UV fixed point to an IR fixed point with anisotropic scale invariance characterized by a dynamical critical exponent z=2−3/2|κ|−1. We speculate that unimodular Hořava-Chern-Simons gravity undergoes a phase transition from this scale-invariant phase to a confining phase when κ drops below a critical value.
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BibTeX
@misc{zelenko2026lifshitz,
title = {{Lifshitz Phase of Quantum Gravity: The Infrared Fixed Point of the (2+1)D Unimodular Hořava-Chern-Simons Model}},
author = {Maxim Zelenko and Dam Thanh Son},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.34024},
eprint = {2610.34024},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.34024},
}
RIS
TY - UNPB
TI - Lifshitz Phase of Quantum Gravity: The Infrared Fixed Point of the (2+1)D Unimodular Hořava-Chern-Simons Model
AU - Maxim Zelenko
AU - Dam Thanh Son
PY - 2026
DA - 2026/10/25
PB - arXiv
DO - 10.48550/arxiv.2610.34024
UR - https://arxiv.org/abs/2610.34024
AB - We consider a nonrelativistic gravity theory in (2+1) dimensions with w_∞ gauge symmetry that we call unimodular Hořava-Chern-Simons gravity. The theory has three dimensionless couplings, one of which is the Chern-Simons level κ. At large |κ|, the theory flows from an asymptotically free UV fixed point to an IR fixed point with anisotropic scale invariance characterized by a dynamical critical exponent z=2−3/2|κ|^−1. We speculate that unimodular Hořava-Chern-Simons gravity undergoes a phase transition from this scale-invariant phase to a confining phase when κ drops below a critical value.
ER -