Spin chain overlaps and the twisted Yangian
Abstract Using considerations based on the thermodynamical Bethe ansatz as well as the representation theory of twisted Yangians we derive an exact expression for the overlaps between the Bethe eigenstates of the SO(6) spin chain and matrix product states built from matrices whose commutators genera...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)176 |
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| author | Marius de Leeuw Tamás Gombor Charlotte Kristjansen Georgios Linardopoulos Balázs Pozsgay |
| author_facet | Marius de Leeuw Tamás Gombor Charlotte Kristjansen Georgios Linardopoulos Balázs Pozsgay |
| author_sort | Marius de Leeuw |
| collection | DOAJ |
| description | Abstract Using considerations based on the thermodynamical Bethe ansatz as well as the representation theory of twisted Yangians we derive an exact expression for the overlaps between the Bethe eigenstates of the SO(6) spin chain and matrix product states built from matrices whose commutators generate an irreducible representation of so $$ \mathfrak{so} $$ (5). The latter play the role of boundary states in a domain wall version of N $$ \mathcal{N} $$ = 4 SYM theory which has non-vanishing, SO(5) symmetric vacuum expectation values on one side of a codimension 1 wall. This theory, which constitutes a defect CFT, is known to be dual to a D3-D7 probe brane system. We likewise show that the same methodology makes it possible to prove an overlap formula, earlier presented without proof, which is of relevance for the similar D3-D5 probe brane system. |
| format | Article |
| id | doaj-art-0ff1ca41f5a1410f971b008e5ab869fa |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-0ff1ca41f5a1410f971b008e5ab869fa2025-02-09T12:06:35ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020114710.1007/JHEP01(2020)176Spin chain overlaps and the twisted YangianMarius de Leeuw0Tamás Gombor1Charlotte Kristjansen2Georgios Linardopoulos3Balázs Pozsgay4School of Mathematics and Hamilton Mathematics Institute, Trinity College DublinLendület Holographic QFT Group, Wigner Research Centre for PhysicsNiels Bohr Institute, University of CopenhagenInstitute of Nuclear and Particle Physics, N.C.S.R., “Demokritos”MTA-BME Quantum Dynamics and Correlations Research Group, Department of Theoretical Physics, Budapest University of Technology and EconomicsAbstract Using considerations based on the thermodynamical Bethe ansatz as well as the representation theory of twisted Yangians we derive an exact expression for the overlaps between the Bethe eigenstates of the SO(6) spin chain and matrix product states built from matrices whose commutators generate an irreducible representation of so $$ \mathfrak{so} $$ (5). The latter play the role of boundary states in a domain wall version of N $$ \mathcal{N} $$ = 4 SYM theory which has non-vanishing, SO(5) symmetric vacuum expectation values on one side of a codimension 1 wall. This theory, which constitutes a defect CFT, is known to be dual to a D3-D7 probe brane system. We likewise show that the same methodology makes it possible to prove an overlap formula, earlier presented without proof, which is of relevance for the similar D3-D5 probe brane system.https://doi.org/10.1007/JHEP01(2020)176Boundary Quantum Field TheoryIntegrable Field TheoriesSupersymmetric Gauge TheoryAdS-CFT Correspondence |
| spellingShingle | Marius de Leeuw Tamás Gombor Charlotte Kristjansen Georgios Linardopoulos Balázs Pozsgay Spin chain overlaps and the twisted Yangian Journal of High Energy Physics Boundary Quantum Field Theory Integrable Field Theories Supersymmetric Gauge Theory AdS-CFT Correspondence |
| title | Spin chain overlaps and the twisted Yangian |
| title_full | Spin chain overlaps and the twisted Yangian |
| title_fullStr | Spin chain overlaps and the twisted Yangian |
| title_full_unstemmed | Spin chain overlaps and the twisted Yangian |
| title_short | Spin chain overlaps and the twisted Yangian |
| title_sort | spin chain overlaps and the twisted yangian |
| topic | Boundary Quantum Field Theory Integrable Field Theories Supersymmetric Gauge Theory AdS-CFT Correspondence |
| url | https://doi.org/10.1007/JHEP01(2020)176 |
| work_keys_str_mv | AT mariusdeleeuw spinchainoverlapsandthetwistedyangian AT tamasgombor spinchainoverlapsandthetwistedyangian AT charlottekristjansen spinchainoverlapsandthetwistedyangian AT georgioslinardopoulos spinchainoverlapsandthetwistedyangian AT balazspozsgay spinchainoverlapsandthetwistedyangian |