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.

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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

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article

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

Sibylle Driezen, Riccardo Borsato
4 citations
Physical review. D/Physical review. D.
Black Holes and Theoretical Physics
7.48
article

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

Sibylle Driezen, Riccardo Borsato
article en
4 citations

Abstract

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.

Physical review. D/Physical review. D.Vol. 111(8)
Universidade de Santiago de Compostela (ES), ETH Zurich (CH)
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
Openalex Percentile: Top 4%
Black Holes and Theoretical Physics
7.48
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