Classical Yang-Baxter equation from β-supergravity

Ilya Bakhmatov (Asia Pacific Center for Theoretical Physics, Postech, Pohang, 37673, Korea; Kazan Federal University, Institute of Physics, Kremlevskaya 16a, Kazan, 420111, Russia) ; 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)

Yang-Baxter deformations of superstring σ-models have recently inspired a supergravity solution generating technique. Using the open/closed string map and a Killing bi-vector as a deformation parameter, new solutions can be built, such that the (generalised) supergravity field equations were conjectured to always reduce to the classical Yang-Baxter equation (CYBE) [1]. In this work we provide a proof of this conjecture, using a systematic approach based on the so-called β-supergravity, which is a dynamical theory for the field β mn instead of the NSNS 2-form b mn .

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      "surname": "Musaev", 
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      "title": "Classical Yang-Baxter equation from \u03b2-supergravity"
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      "value": "Yang-Baxter deformations of superstring \u03c3-models have recently inspired a supergravity solution generating technique. Using the open/closed string map and a Killing bi-vector as a deformation parameter, new solutions can be built, such that the (generalised) supergravity field equations were conjectured to always reduce to the classical Yang-Baxter equation (CYBE) [1]. In this work we provide a proof of this conjecture, using a systematic approach based on the so-called \u03b2-supergravity, which is a dynamical theory for the field \u03b2  mn  instead of the NSNS 2-form b  mn ."
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Published on:
16 January 2019
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2019 (2019)
Issue 1
Pages 1-17
DOI:
https://doi.org/10.1007/JHEP01(2019)140
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

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