An improved heat kernel framework with phase-factor reconstruction computes symmetry-resolved entanglement entropy for charged systems and derives a cMERA flow equation that agrees with CFT and holographic calculations.
Charged R\'enyi Entropies in CFTs with Einstein-Gauss-Bonnet Holographic Duals
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
We calculate the R\'enyi entropy $S_q(\mu,\lambda)$, for a spherical entangling surface in CFT's with Einstein-Gauss-Bonnet-Maxwell holographic duals. R\'enyi entropies must obey some interesting inequalities by definition. However, for Gauss-Bonnet couplings $\lambda$, larger than a specific value, but still allowed by causality, we observe a violation of the inequality $\frac{\partial}{{\partial q}}\left({\frac{{q - 1}}{q}S_q(\mu,\lambda)} \right) \ge 0$, which is related to the existence of negative entropy black holes, providing interesting restrictions in the bulk theory. Moreover, we find an interesting distinction of the behaviour of the analytic continuation of $S_q(\mu,\lambda)$ for imaginary chemical potential, between negative and non-negative $\lambda$.
citation-role summary
background 1
citation-polarity summary
years
2025 2verdicts
UNVERDICTED 2roles
background 1polarities
background 1representative citing papers
Numerical MPS study of the Moore-Read state finds approximate equipartition of symmetry-resolved entanglement entropy and good agreement with the Li-Haldane conjecture for the entanglement spectrum despite distinct neutral and charged velocities.
citing papers explorer
-
Symmetry-Resolved Entanglement Entropy from Heat Kernels
An improved heat kernel framework with phase-factor reconstruction computes symmetry-resolved entanglement entropy for charged systems and derives a cMERA flow equation that agrees with CFT and holographic calculations.
-
Symmetry Resolved Entanglement Entropy in a Non-Abelian Fractional Quantum Hall State
Numerical MPS study of the Moore-Read state finds approximate equipartition of symmetry-resolved entanglement entropy and good agreement with the Li-Haldane conjecture for the entanglement spectrum despite distinct neutral and charged velocities.