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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| Accès en ligne: | https://arxiv.org/abs/2601.09935 |
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| _version_ | 1866915855899557888 |
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| author | Gil, Julio Cabello Driezen, Sibylle |
| author_facet | Gil, Julio Cabello Driezen, Sibylle |
| contents | Boundary integrability provides rare analytic control over field theories with interfaces, from quantum impurity problems to open string dynamics. We propose an analytic approach for integrable boundaries in two-dimensional sigma-models that determines admissible reflection maps directly from the divisor structure of the Lax connection. Applied to open strings on $AdS_3\times S^3$ with mixed NSNS-RR flux, we find two branches of integrable boundaries: one restricted to pure RR flux, and another admitting D-branes wrapping twisted conjugacy classes for generic flux. At the WZW point, these reduce to the known conformal D-branes, opening a path to comparison with conformal perturbation theory. More broadly, our framework suggests generalisations of standard lattice constructions that may enlarge existing classifications of integrable boundaries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09935 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Analytic approach to boundary integrability with application to mixed-flux $AdS_3 \times S^3$ Gil, Julio Cabello Driezen, Sibylle High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems Boundary integrability provides rare analytic control over field theories with interfaces, from quantum impurity problems to open string dynamics. We propose an analytic approach for integrable boundaries in two-dimensional sigma-models that determines admissible reflection maps directly from the divisor structure of the Lax connection. Applied to open strings on $AdS_3\times S^3$ with mixed NSNS-RR flux, we find two branches of integrable boundaries: one restricted to pure RR flux, and another admitting D-branes wrapping twisted conjugacy classes for generic flux. At the WZW point, these reduce to the known conformal D-branes, opening a path to comparison with conformal perturbation theory. More broadly, our framework suggests generalisations of standard lattice constructions that may enlarge existing classifications of integrable boundaries. |
| title | Analytic approach to boundary integrability with application to mixed-flux $AdS_3 \times S^3$ |
| topic | High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2601.09935 |