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We study the symmetry resolution of the entanglement entropy of an interval in two-dimensional conformal field theories (CFTs), by relating the bipartition to the geometry of an annulus with conformal boundary conditions. In the presence of…

High Energy Physics - Theory · Physics 2025-10-21 Giuseppe Di Giulio , René Meyer , Christian Northe , Henri Scheppach , Suting Zhao

We perform a comprehensive analysis of the symmetry-resolved (SR) entanglement entropy (EE) for one single interval in the ground state of a $1+1$D conformal field theory (CFT), that is invariant under an arbitrary finite or compact Lie…

High Energy Physics - Theory · Physics 2023-12-07 Yuya Kusuki , Sara Murciano , Hirosi Ooguri , Sridip Pal

A comprehensive symmetry resolution of the entanglement entropy (EE) in $(1+1)$-d rational conformal field theories (RCFT) with categorical non-invertible symmetries is presented. This amounts to symmetry resolving the entanglement with…

High Energy Physics - Theory · Physics 2024-12-10 Arpit Das , Javier Molina-Vilaplana , Pablo Saura-Bastida

Entanglement is analyzed in the Majorana fermion conformal field theory (CFT) in the vacuum, in the fermion state, and in states built from conformal interfaces. In the boundary-state approach, the Hilbert space admits two factorizations…

High Energy Physics - Theory · Physics 2025-11-13 Christian Northe

We present a thorough analysis of the entanglement entropies related to different symmetry sectors of free quantum field theories (QFT) with an internal U(1) symmetry. We provide explicit analytic computations for the charged moments of…

High Energy Physics - Theory · Physics 2020-08-25 Sara Murciano , Giuseppe Di Giulio , Pasquale Calabrese

Entanglement or modular Hamiltonians play a crucial role in the investigation of correlations in quantum field theories. In particular, in 1+1 space-time dimensions, the spectra of entanglement Hamiltonians of conformal field theories…

Statistical Mechanics · Physics 2020-08-06 Ananda Roy , Frank Pollmann , Hubert Saleur

Entanglement is resolved in conformal field theory (CFT) with respect to conformal families to all orders in the UV cutoff. To leading order, symmetry-resolved entanglement is connected to the quantum dimension of a conformal family, while…

High Energy Physics - Theory · Physics 2023-10-10 Christian Northe

Entanglement (Renyi) entropies of spatial regions are a useful tool for characterizing the ground states of quantum field theories. In this paper we investigate the extent to which these are universal quantities for a given theory, and to…

High Energy Physics - Theory · Physics 2013-03-18 Matthew Headrick , Albion Lawrence , Matthew M. Roberts

We study fermionic non-invertible symmetries in (1+1)d, which are generalized global symmetries that mix fermion parity symmetry with other invertible and non-invertible internal symmetries. Such symmetries are described by fermionic fusion…

High Energy Physics - Theory · Physics 2025-06-18 Lakshya Bhardwaj , Kansei Inamura , Apoorv Tiwari

A state in a quantum system with a given global symmetry, $G$, can be sensitive to the presence of boundaries, which may either preserve or break this symmetry. In this work, we investigate how conformal invariant boundary conditions…

High Energy Physics - Theory · Physics 2025-09-15 Yuya Kusuki , Sara Murciano , Hirosi Ooguri , Sridip Pal

We report on the calculation of the symmetry resolved entanglement entropies in two-dimensional many-body systems of free bosons and fermions by \emph{dimensional reduction}. When the subsystem is translational invariant in a transverse…

Statistical Mechanics · Physics 2020-08-11 Sara Murciano , Paola Ruggiero , Pasquale Calabrese

We describe the dynamics of a single fermion in a dispersionless band coupled to the 2+1 dimensional conformal field theory (CFT) describing the quantum phase transition of a bosonic order parameter with N components. The fermionic spectral…

Strongly Correlated Electrons · Physics 2014-07-30 Andrea Allais , Subir Sachdev

We study the universal scaling behavior of the entanglement entropy of critical theories in $2+1$ dimensions. We specially consider two fermionic scale-invariant models, free massless Dirac fermions and a model of fermions with quadratic…

Strongly Correlated Electrons · Physics 2015-02-24 Xiao Chen , Gil Young Cho , Thomas Faulkner , Eduardo Fradkin

As a new ingredient for analyzing the fine structure of entanglement, we study the symmetry resolution of the modular flow of $U(1)$-invariant operators in theories endowed with a global $U(1)$ symmetry. We provide a consistent definition…

High Energy Physics - Theory · Physics 2025-10-21 Giuseppe Di Giulio , Johanna Erdmenger

The entanglement spectra for a subsystem in a spin chain fine-tuned to a quantum-critical point contains signatures of the underlying quantum field theory that governs its low-energy properties. For an open chain with given boundary…

Quantum Physics · Physics 2025-09-26 Ananda Roy , Sergei L. Lukyanov , Hubert Saleur

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…

High Energy Physics - Theory · Physics 2026-03-31 Filiberto Ares , Jayashish Das , Arnab Kundu

We consider entanglement through permeable junctions of $N$ $(1+1)$-dimensional free boson and free fermion conformal field theories. In the folded picture we constrain the form of the general boundary state. We calculate replicated…

High Energy Physics - Theory · Physics 2017-05-31 Michael Gutperle , John D. Miller

The entanglement entropy of an arbitrary spacetime region $A$ in a three-dimensional conformal field theory (CFT) contains a constant universal coefficient, $F(A)$. For general theories, the value of $F(A)$ is minimized when $A$ is a round…

High Energy Physics - Theory · Physics 2025-08-26 Pablo Bueno , Horacio Casini , Oscar Lasso Andino , Javier Moreno

A quantum critical (QC) fluid exhibits universal subleading corrections to the area law of its entanglement entropies. In two dimensions when the partition involves a corner of angle $\theta$, the subleading term is logarithmic with…

Strongly Correlated Electrons · Physics 2016-09-28 Johannes Helmes , Lauren E. Hayward Sierens , Anushya Chandran , William Witczak-Krempa , Roger G. Melko

Boundary conformal field theory (BCFT) provides a universal framework for critical phenomena in the presence of boundaries. We determine BCFT data for the normal and ordinary boundary universality classes of the $1+1$-dimensional boundaries…

Strongly Correlated Electrons · Physics 2026-04-24 Jiechao Feng , Taige Wang
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