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Classical Yang-Baxter equation from -supergravity
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DOI：10.1007/JHEP01(2019)140.png)
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Abstract
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Yang-Baxter deformations of superstring sigma-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 -supergravity, which is a dynamical theory for the field (mn) instead of the NSNS 2-form b(mn).
Keywords:
Supergravity Models
Space-Time Symmetries
String Duality
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