Entanglement asymmetry and symmetry defects in boundary conformal field theory
Abstract 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 influence the G-symmetry breaking through the lens of the e...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-01-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2025)057 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832595025152704512 |
|---|---|
| author | Yuya Kusuki Sara Murciano Hirosi Ooguri Sridip Pal |
| author_facet | Yuya Kusuki Sara Murciano Hirosi Ooguri Sridip Pal |
| author_sort | Yuya Kusuki |
| collection | DOAJ |
| description | Abstract 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 influence the G-symmetry breaking through the lens of the entanglement asymmetry, a quantifier of the “distance” between a symmetry-broken state and its symmetrized counterpart. By leveraging 2D boundary conformal field theory (BCFT), we investigate the symmetry breaking for both finite and compact Lie groups. Beyond the leading order term, we also compute the subleading corrections in the subsystem size, highlighting their dependence on the symmetry group G and the BCFT operator content. We further explore the entanglement asymmetry following a global quantum quench, where a symmetry-broken state evolves under a symmetry-restoring Hamiltonian. In this dynamical setting, we compute the entanglement asymmetry by extending the method of images to a BCFT with non-local objects such as invertible symmetry defects. |
| format | Article |
| id | doaj-art-173dd413f1ea439eb7c120f4b0fc0959 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-173dd413f1ea439eb7c120f4b0fc09592025-01-19T12:07:47ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025113010.1007/JHEP01(2025)057Entanglement asymmetry and symmetry defects in boundary conformal field theoryYuya Kusuki0Sara Murciano1Hirosi Ooguri2Sridip Pal3Institute for Advanced Study, Kyushu UniversityWalter Burke Institute for Theoretical Physics, California Institute of TechnologyWalter Burke Institute for Theoretical Physics, California Institute of TechnologyWalter Burke Institute for Theoretical Physics, California Institute of TechnologyAbstract 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 influence the G-symmetry breaking through the lens of the entanglement asymmetry, a quantifier of the “distance” between a symmetry-broken state and its symmetrized counterpart. By leveraging 2D boundary conformal field theory (BCFT), we investigate the symmetry breaking for both finite and compact Lie groups. Beyond the leading order term, we also compute the subleading corrections in the subsystem size, highlighting their dependence on the symmetry group G and the BCFT operator content. We further explore the entanglement asymmetry following a global quantum quench, where a symmetry-broken state evolves under a symmetry-restoring Hamiltonian. In this dynamical setting, we compute the entanglement asymmetry by extending the method of images to a BCFT with non-local objects such as invertible symmetry defects.https://doi.org/10.1007/JHEP01(2025)057Field Theories in Lower DimensionsGlobal SymmetriesScale and Conformal Symmetries |
| spellingShingle | Yuya Kusuki Sara Murciano Hirosi Ooguri Sridip Pal Entanglement asymmetry and symmetry defects in boundary conformal field theory Journal of High Energy Physics Field Theories in Lower Dimensions Global Symmetries Scale and Conformal Symmetries |
| title | Entanglement asymmetry and symmetry defects in boundary conformal field theory |
| title_full | Entanglement asymmetry and symmetry defects in boundary conformal field theory |
| title_fullStr | Entanglement asymmetry and symmetry defects in boundary conformal field theory |
| title_full_unstemmed | Entanglement asymmetry and symmetry defects in boundary conformal field theory |
| title_short | Entanglement asymmetry and symmetry defects in boundary conformal field theory |
| title_sort | entanglement asymmetry and symmetry defects in boundary conformal field theory |
| topic | Field Theories in Lower Dimensions Global Symmetries Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP01(2025)057 |
| work_keys_str_mv | AT yuyakusuki entanglementasymmetryandsymmetrydefectsinboundaryconformalfieldtheory AT saramurciano entanglementasymmetryandsymmetrydefectsinboundaryconformalfieldtheory AT hirosiooguri entanglementasymmetryandsymmetrydefectsinboundaryconformalfieldtheory AT sridippal entanglementasymmetryandsymmetrydefectsinboundaryconformalfieldtheory |