Journal of High Energy Physics

, 2019:140 | Cite as

Classical Yang-Baxter equation from β-supergravity

  • Ilya BakhmatovEmail author
  • Edvard T. Musaev
Open Access
Regular Article - Theoretical Physics


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 βmn instead of the NSNS 2-form bmn.


Supergravity Models Space-Time Symmetries String Duality 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.Asia Pacific Center for Theoretical PhysicsPostechPohangKorea
  2. 2.Moscow Institute of Physics and TechnologyDolgoprudnyRussia
  3. 3.Kazan Federal University, Institute of PhysicsKazanRussia

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