Tri-vector deformations in d = 11 supergravity

Ilya Bakhmatov (Asia Pacific Center for Theoretical Physics, Postech, Pohang, 37673, Korea; Kazan Federal University, Institute of Physics, Kremlevskaya 16a, Kazan, 420111, Russia) ; Nihat Deger (Department of Mathematics, Boğaziçi University, Bebek, Istanbul, 34342, Turkey) ; Edvard Musaev (Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudny, 141700, Russia; Kazan Federal University, Institute of Physics, Kremlevskaya 16a, Kazan, 420111, Russia) ; Eoin Colgáin (Asia Pacific Center for Theoretical Physics, Postech, Pohang, 37673, Korea; Department of Physics, Postech, Pohang, 37673, Korea) ; Mohammad Sheikh-Jabbari (School of Physics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran; The Abdus Salam ICTP, Strada Costiera 11, Trieste, 34151, Italy)

We construct a d = 11 supergravity analogue of the open-closed string map in the context of SL(5) Exceptional Field Theory (ExFT). The deformation parameter tri-vector Ω generalizes the non-commutativity bi-vector parameter Θ of the open string. When applied to solutions in d = 11, this map provides an economical way of performing TsT deformations, and may be used to recover d = 10 Yang-Baxter deformations after dimensional reduction. We present a generalization of the Classical Yang-Baxter Equation (CYBE) for rank 3 objects, which emerges from d = 11 supergravity and the SL(5) ExFT. This equation is shown to reduce to the d = 10 CYBE upon dimensional reduction.

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      "surname": "Deger", 
      "email": "sadik.deger@boun.edu.tr", 
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      "surname": "Colg\u00e1in", 
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      "source": "Springer", 
      "value": "We construct a d = 11 supergravity analogue of the open-closed string map in the context of SL(5) Exceptional Field Theory (ExFT). The deformation parameter tri-vector \u03a9 generalizes the non-commutativity bi-vector parameter \u0398 of the open string. When applied to solutions in d = 11, this map provides an economical way of performing TsT deformations, and may be used to recover d = 10 Yang-Baxter deformations after dimensional reduction. We present a generalization of the Classical Yang-Baxter Equation (CYBE) for rank 3 objects, which emerges from d = 11 supergravity and the SL(5) ExFT. This equation is shown to reduce to the d = 10 CYBE upon dimensional reduction."
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Published on:
23 November 2019
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2019 (2019)
Issue 8
Pages 1-24
DOI:
https://doi.org/10.1007/JHEP08(2019)126
arXiv:
1906.09052
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: