Classical Yang-Baxter equation from β-supergravity
Classical Yang-Baxter equation from β-supergravity
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DOI：
10.1007/jhep01(2019)140
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发表时间：
2018-11
影响因子：
5.4
通讯作者：
I. Bakhmatov;E. Musaev
中科院分区：
文献类型：
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作者：
I. Bakhmatov;E. Musaev
超弦σ-模型的Yang-Baxter变形最近启发了一种超重力解生成技术。使用开/闭弦映射和一个Killing双向量作为变形参数，可以建立新的解，这样（广义的）超重力场方程就被推测为总是简化为经典的Yang-Baxter方程（CYBE）[1]。在这项工作中，我们使用一种基于所谓β-超重力的系统方法来证明这一猜想，β-超重力是场β mn而不是nsns2 -形式b mn的动力学理论。
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.