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Universality of corner entanglement in conformal field theories

3 Pith papers cite this work. Polarity classification is still indexing.

3 Pith papers citing it
abstract

We study the contribution to the entanglement entropy of (2+1)-dimensional conformal field theories coming from a sharp corner in the entangling surface. This contribution is encoded in a function $a(\theta)$ of the corner opening angle, and was recently proposed as a measure of the degrees of freedom in the underlying CFT. We show that the ratio $a(\theta)/C_T$, where $C_T$ is the central charge in the stress tensor correlator, is an almost universal quantity for a broad class of theories including various higher-curvature holographic models, free scalars and fermions, and Wilson-Fisher fixed points of the $O(N)$ models with $N=1,2,3$. Strikingly, the agreement between these different theories becomes exact in the limit $\theta\rightarrow \pi$, where the entangling surface approaches a smooth curve. We thus conjecture that the corresponding ratio is universal for general CFTs in three dimensions.

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representative citing papers

Cosmological higher-curvature gravities

gr-qc · 2023-11-20 · unverdicted · novelty 7.0

Higher-curvature gravities are constructed in which both FLRW backgrounds and linearized scalar perturbations obey at most second-order differential equations.

Genuine multientropy, dihedral invariants and Lifshitz theory

hep-th · 2025-08-30 · unverdicted · novelty 6.0

Authors derive genuine multientropy for Lifshitz states as mutual information plus negativity, obtain its non-integer Rényi continuation, and prove dihedral invariants equal Rényi reflected entropies for general tripartite pure states.

When Symmetries Twist: Anomaly Inflow on Monodromy Defects

hep-th · 2026-05-15 · unverdicted · novelty 5.0 · 2 refs

Anomaly inflow on monodromy defects in anomalous symmetry theories defines them as domain walls inducing topological order, yielding protected chiral edge modes and adiabatic pumping of gapless degrees of freedom, verified in chiral symmetry examples on continuum and lattice.

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  • Cosmological higher-curvature gravities gr-qc · 2023-11-20 · unverdicted · none · ref 30 · internal anchor

    Higher-curvature gravities are constructed in which both FLRW backgrounds and linearized scalar perturbations obey at most second-order differential equations.

  • Genuine multientropy, dihedral invariants and Lifshitz theory hep-th · 2025-08-30 · unverdicted · none · ref 15 · internal anchor

    Authors derive genuine multientropy for Lifshitz states as mutual information plus negativity, obtain its non-integer Rényi continuation, and prove dihedral invariants equal Rényi reflected entropies for general tripartite pure states.

  • When Symmetries Twist: Anomaly Inflow on Monodromy Defects hep-th · 2026-05-15 · unverdicted · none · ref 126 · 2 links · internal anchor

    Anomaly inflow on monodromy defects in anomalous symmetry theories defines them as domain walls inducing topological order, yielding protected chiral edge modes and adiabatic pumping of gapless degrees of freedom, verified in chiral symmetry examples on continuum and lattice.