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arXiv · 2508.18373

Higher-Dimensional Chirally Stabilized Fixed Points and Their Deformations

Aleksandar Ljepoja·L. C. R. Wijewardhana·Yashar Komijani
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Abstract

Non-Fermi liquids in $d>2$ remain poorly understood, particularly when relevant perturbations destabilize them. In one spatial dimension, chirally stabilized fixed points provide a rare class of analytically tractable non-Fermi-liquid critical points, but their higher-dimensional analogues have been elusive. Here, we develop a Wilsonian operator-product-expansion renormalization group scheme that captures power-divergent terms and use it to construct finite-$N$ higher-dimensional analogues of chirally stabilized fixed points in arbitrary dimension $d\le4$. This exposes a conformal window at finite $N$. We further show that symmetry-breaking masses, far from being trivial, can collapse this window and drive the system to strong coupling, triggering dynamical mass generation.

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Aleksandar Ljepoja, L. C. R. Wijewardhana, Yashar Komijani. 2025-08-25. Higher-Dimensional Chirally Stabilized Fixed Points and Their Deformations. https://doi.org/10.1103/3xv4-2jf1

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