Symmetry Resolved Measures in Quantum Field Theory: a Short Review

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Hauptverfasser: Castro-Alvaredo, Olalla A., Santamaría-Sanz, Lucía
Format: Preprint
Veröffentlicht: 2024
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author Castro-Alvaredo, Olalla A.
Santamaría-Sanz, Lucía
author_facet Castro-Alvaredo, Olalla A.
Santamaría-Sanz, Lucía
contents In this short review we present the key definitions, ideas and techniques involved in the study of symmetry resolved entanglement measures, with a focus on the symmetry resolved entanglement entropy. In order to be able to define such entanglement measures, it is essential that the theory under study possess an internal symmetry. Then, symmetry resolved entanglement measures quantify the contribution to a particular entanglement measure that can be associated to a chosen symmetry sector. Our review focuses on conformal (gapless/massless/critical) and integrable (gapped/massive) quantum field theories, where the leading computational technique employs symmetry fields known as (composite) branch point twist fields.
format Preprint
id arxiv_https___arxiv_org_abs_2403_06652
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Symmetry Resolved Measures in Quantum Field Theory: a Short Review
Castro-Alvaredo, Olalla A.
Santamaría-Sanz, Lucía
High Energy Physics - Theory
Mathematical Physics
In this short review we present the key definitions, ideas and techniques involved in the study of symmetry resolved entanglement measures, with a focus on the symmetry resolved entanglement entropy. In order to be able to define such entanglement measures, it is essential that the theory under study possess an internal symmetry. Then, symmetry resolved entanglement measures quantify the contribution to a particular entanglement measure that can be associated to a chosen symmetry sector. Our review focuses on conformal (gapless/massless/critical) and integrable (gapped/massive) quantum field theories, where the leading computational technique employs symmetry fields known as (composite) branch point twist fields.
title Symmetry Resolved Measures in Quantum Field Theory: a Short Review
topic High Energy Physics - Theory
Mathematical Physics
url https://arxiv.org/abs/2403.06652