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Symmetry Resolved Measures in Quantum Field Theory: a Short Review

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arxiv 2403.06652 v2 pith:2EUFLAJF submitted 2024-03-11 hep-th math-phmath.MP

Olalla A. Castro-Alvaredo , Lucía Santamaría-Sanz This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords symmetryentanglementmeasuresresolvedreviewfieldfieldsquantum
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Entanglement in Presence of Topological Interfaces and Dualities

    hep-th 2026-07 conditional novelty 7.0 of 10

    Duality interfaces in 2d CFT project the vacuum entanglement spectrum onto a single symmetry sector, making the interface itself a physical symmetry-resolution filter.

  2. Time Evolution of the Symmetry Resolved Entanglement Entropy after a Mass Quench

    hep-th 2025-02 conditional novelty 6.0 of 10

    For a mass quench in the Ising field theory, the Z2-resolved Rényi entropies grow linearly at the same rate as the total entropy, with subleading oscillatory corrections now computed analytically via composite twist fields.

  3. Symmetry resolved entanglement in Lifshitz field theories

    hep-th 2026-04 unverdicted novelty 5.0 of 10

    Symmetry-resolved entanglement in Lifshitz theories shows approximate equipartition among charge sectors for scalars at large z with configurational entropy dominant, while fermions show genuine equipartition only at ...

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