Worldsheet kinematics, dressing factors and odd crossing in mixed-flux AdS3 backgrounds
Abstract String theory on AdS3 × S3 × T4 geometries supported by a combination of NS-NS and R-R charges is believed to be integrable. We elucidate the kinematics and analytic structure of worldsheet excitations in mixed charge and pure NS-NS backgrounds, when expressed in momentum, Zhukovsky variabl...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-09-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP09(2024)132 |
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| author | Olof Ohlsson Sax Dmitrii Riabchenko Bogdan Stefański jr. |
| author_facet | Olof Ohlsson Sax Dmitrii Riabchenko Bogdan Stefański jr. |
| author_sort | Olof Ohlsson Sax |
| collection | DOAJ |
| description | Abstract String theory on AdS3 × S3 × T4 geometries supported by a combination of NS-NS and R-R charges is believed to be integrable. We elucidate the kinematics and analytic structure of worldsheet excitations in mixed charge and pure NS-NS backgrounds, when expressed in momentum, Zhukovsky variables and the rapidity u which appears in the quantum spectral curve. We discuss the relations between fundamental and bound state excitations and the role of fusion in constraining and determining the S matrices of these theories. We propose a scalar dressing factor consistent with a novel u-plane periodicity and comment on its close relation to the XXZ model at roots of unity. We solve the odd part of crossing and show that our solution is consistent with fusion and reduces in the relativistic limit to dressing phases previously found in the literature. |
| format | Article |
| id | doaj-art-cdfb6dd3460b415fb931d67e08d1ca4e |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-cdfb6dd3460b415fb931d67e08d1ca4e2025-08-20T02:30:59ZengSpringerOpenJournal of High Energy Physics1029-84792024-09-012024915310.1007/JHEP09(2024)132Worldsheet kinematics, dressing factors and odd crossing in mixed-flux AdS3 backgroundsOlof Ohlsson Sax0Dmitrii Riabchenko1Bogdan Stefański jr.2Nordita, Stockholm University and KTH Royal Institute of TechnologyCentre for Mathematical Science, City St. George’s, University of LondonCentre for Mathematical Science, City St. George’s, University of LondonAbstract String theory on AdS3 × S3 × T4 geometries supported by a combination of NS-NS and R-R charges is believed to be integrable. We elucidate the kinematics and analytic structure of worldsheet excitations in mixed charge and pure NS-NS backgrounds, when expressed in momentum, Zhukovsky variables and the rapidity u which appears in the quantum spectral curve. We discuss the relations between fundamental and bound state excitations and the role of fusion in constraining and determining the S matrices of these theories. We propose a scalar dressing factor consistent with a novel u-plane periodicity and comment on its close relation to the XXZ model at roots of unity. We solve the odd part of crossing and show that our solution is consistent with fusion and reduces in the relativistic limit to dressing phases previously found in the literature.https://doi.org/10.1007/JHEP09(2024)132AdS-CFT CorrespondenceGauge-Gravity CorrespondenceIntegrable Field Theories |
| spellingShingle | Olof Ohlsson Sax Dmitrii Riabchenko Bogdan Stefański jr. Worldsheet kinematics, dressing factors and odd crossing in mixed-flux AdS3 backgrounds Journal of High Energy Physics AdS-CFT Correspondence Gauge-Gravity Correspondence Integrable Field Theories |
| title | Worldsheet kinematics, dressing factors and odd crossing in mixed-flux AdS3 backgrounds |
| title_full | Worldsheet kinematics, dressing factors and odd crossing in mixed-flux AdS3 backgrounds |
| title_fullStr | Worldsheet kinematics, dressing factors and odd crossing in mixed-flux AdS3 backgrounds |
| title_full_unstemmed | Worldsheet kinematics, dressing factors and odd crossing in mixed-flux AdS3 backgrounds |
| title_short | Worldsheet kinematics, dressing factors and odd crossing in mixed-flux AdS3 backgrounds |
| title_sort | worldsheet kinematics dressing factors and odd crossing in mixed flux ads3 backgrounds |
| topic | AdS-CFT Correspondence Gauge-Gravity Correspondence Integrable Field Theories |
| url | https://doi.org/10.1007/JHEP09(2024)132 |
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