Breaking of integrability in elliptic deformations of AdS3 strings with mixed flux
Abstract
We construct elliptic deformations of the AdS3 × S3 × T4 superstring supported by mixed NSNS and RR fluxes in type IIB supergravity and investigate their integrability. The NSNS sector includes a Wess-Zumino term, and imposing that the theory preserves 8 supersymmetries also requires the presence of a B-field coupling the deformed AdS3 and S3 factors. We explore integrability from two different perspectives: through the construction of a flat Lax connection and the computation of the tree-level worldsheet S-matrix. For generic elliptic parameters and NSNS flux, we find inelastic 2 → 2 amplitudes, violating the elasticity required by integrability. In the integrable cases as identified by the Lax analysis, these inelastic amplitudes vanish and the tree-level S-matrix satisfies the classical Yang-Baxter equation. In particular, the addition of a Wess-Zumino term, which preserves integrability in the rational and trigonometric models, breaks integrability for elliptic deformations.
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BibTeX
@misc{meur2026breaking,
title = {{Breaking of integrability in elliptic deformations of AdS3 strings with mixed flux}},
author = {Ian Le Meur and Fiona K. Seibold},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.40386},
eprint = {2610.40386},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.40386},
}
RIS
TY - UNPB
TI - Breaking of integrability in elliptic deformations of AdS3 strings with mixed flux
AU - Ian Le Meur
AU - Fiona K. Seibold
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.40386
UR - https://arxiv.org/abs/2610.40386
AB - We construct elliptic deformations of the AdS_3 × S^3 × T^4 superstring supported by mixed NSNS and RR fluxes in type IIB supergravity and investigate their integrability. The NSNS sector includes a Wess-Zumino term, and imposing that the theory preserves 8 supersymmetries also requires the presence of a B-field coupling the deformed AdS_3 and S^3 factors. We explore integrability from two different perspectives: through the construction of a flat Lax connection and the computation of the tree-level worldsheet S-matrix. For generic elliptic parameters and NSNS flux, we find inelastic 2 → 2 amplitudes, violating the elasticity required by integrability. In the integrable cases as identified by the Lax analysis, these inelastic amplitudes vanish and the tree-level S-matrix satisfies the classical Yang-Baxter equation. In particular, the addition of a Wess-Zumino term, which preserves integrability in the rational and trigonometric models, breaks integrability for elliptic deformations.
ER -