English

Symmetry Resolved Entanglement Entropy: Equipartition under Driven and Non-unitary Evolution in a Compact Boson CFT

High Energy Physics - Theory 2026-03-31 v1 Statistical Mechanics

Abstract

We study the evolution of symmetry-resolved entanglement entropy in bulk-driven Floquet conformal field theories (CFTs). Focusing on the two-dimensional free compact boson CFT, we analyze how symmetry-resolved R\'enyi entropies approach or depart from equipartition among charge sectors. We show that the existence of an sl(k)(2,R)\mathfrak{sl}^{(k)}(2,\mathbb{R}) subalgebra of the Virasoro algebra introduces a free parameter, the label kk, which allows us to control the breakdown of equipartition. We argue that this effect originates from an explicit coupling between low- and high-frequency modes. Based on a general oscillator representation of the Virasoro algebra, we expect this mechanism to persist beyond the free boson CFT. Finally, we discuss how the real-time dynamics of fine-grained symmetry-resolved entropies of a boundary state are modified under non-unitary evolution, which can be associated with post-selected weak measurements.

Keywords

Cite

@article{arxiv.2603.28567,
  title  = {Symmetry Resolved Entanglement Entropy: Equipartition under Driven and Non-unitary Evolution in a Compact Boson CFT},
  author = {Filiberto Ares and Jayashish Das and Arnab Kundu},
  journal= {arXiv preprint arXiv:2603.28567},
  year   = {2026}
}

Comments

38 pages, 4 figures