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Machine Learning Gauged Supergravity
Fortschritte der Physik ( IF 5.6 ) Pub Date : 2020-03-19 , DOI: 10.1002/prop.202000027
Chethan Krishnan 1 , Vyshnav Mohan 1 , Soham Ray 1
Affiliation  

Type IIB string theory on a 5‐sphere gives rise to urn:x-wiley:00158208:media:prop202000027:prop202000027-math-0002 gauged supergravity in five dimensions. Motivated by the fact that this is the context of the most widely studied example of the AdS/CFT correspondence, we undertake an investigation of its critical points. The scalar manifold is an urn:x-wiley:00158208:media:prop202000027:prop202000027-math-0003 coset, and the challenge is that it is 42‐dimensional. We take a Machine Learning approach to the problem using TensorFlow, and this results in a substantial increase in the number of known critical points. Our list of 32 critical points contains all five of the previously known ones, including an urn:x-wiley:00158208:media:prop202000027:prop202000027-math-0004 supersymmetric point identified by Khavaev, Pilch and Warner.

中文翻译:

机器学习衡量超重力

五球上的IIB型弦理论缸:x-wiley:00158208:media:prop202000027:prop202000027-math-0002在五个维度上产生了规范的超重力。由于这是AdS / CFT对应关系研究最广泛的示例的事实,因此我们对其关键点进行了调查。标量流形是缸:x-wiley:00158208:media:prop202000027:prop202000027-math-0003同伴集,而挑战在于它是42维的。我们使用TensorFlow采取机器学习方法来解决问题,这导致已知关键点的数量大大增加。我们的32个关键点列表包含了所有先前已知的五个关键点,包括缸:x-wiley:00158208:media:prop202000027:prop202000027-math-0004由Khavaev,Pilch和Warner识别的超对称点。
更新日期:2020-03-19
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