Classical Yang-Baxter equation from -supergravity

doi:10.1007/JHEP01(2019)140

Classical Yang-Baxter equation from -supergravity

2019-01-16

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DOI：10.1007/JHEP01(2019)140

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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).

Keyword:

Supergravity Models

Space-Time Symmetries

String Duality

Classical Yang-Baxter equation from -supergravity

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