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Institute of Theoretical Physics |
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Key Laboratory of Theoretical Physics |
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Chinese Academy of Sciences |
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Seminar |
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Title
题目 |
Emergent classical geometries on boundaries of randomly connected tensor networks |
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Speaker
报告人 |
Prof. Naoki Sasakura |
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Affiliation
所在单位 |
Yukawa Institute, Kyoto University |
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Date
日期 |
16:00 April 15,2016
2016年4月15日（星期五）下午 16:00 |
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Venue
地点 |
ITP New Building 6620 |
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Abstract
摘要 |
Classical spaces with geometries are shown to emerge on boundaries of randomly connected tensor networks. We give the explicit solvable examples of emergent flat tori in arbitrary dimensions, and the general curved cases are also considered. The perturbative dynamics is shown to be described by an effective action which is invariant under the spatial diffeomorphism due to the underlying orthogonal group symmetry of the tensor networks. It is also shown that there are various phase transitions among spaces, such as the transition between extended and point-like spaces. |
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Contact Person
所内合作者 |
Tian-Jun Li
李田军 |
