Particle production in a light-cone gauge fixed Jordanian deformation of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>AdS</mml:mi></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></m
We consider a string on a Jordanian deformation of the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi>AdS</a:mi><a:mn>5</a:mn></a:msub><a:mo>×</a:mo><a:msup><a:mi>S</a:mi><a:mn>5</a:mn></a:msup></a:math> spacetime. This model belongs to the larger class of homogeneous Yang-Baxter deformations, which preserve classical integrability in the sense that one can construct an explicit Lax connection. To study the scattering of bosonic worldsheet excitations, we fix light-cone gauge and expand around a pointlike classical solution that reduces to the BMN vacuum in the undeformed limit. Our analysis shows that the light-cone gauge-fixed Hamiltonian, under a perturbative field expansion, includes cubic terms that give rise to nontrivial cubic processes for physical particles. We discuss this unexpected result in relation to the property of Lax integrability of the sigma-model.
Authors
- Sibylle Driezen (ORCID: https://orcid.org/0000-0002-8418-5377)
- Riccardo Borsato (ORCID: https://orcid.org/0000-0002-0156-441X)
Institutions
- Universidade de Santiago de Compostela (ES)
- ETH Zurich (CH)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2025-04-09
- DOI
- https://doi.org/10.1103/physrevd.111.086010
- Citations
- 4
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 7.48
Funders
- National Science Foundation
- National Centres of Competence in Research SwissMAP
- European Commission
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
- Ministerio de Ciencia e Innovación
- Xunta de Galicia
- Stony Brook University
- Agencia Estatal de Investigación