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タイトル: | Symmetry enhancement in a two-logarithm matrix model and the canonical tensor model |
著者: | Sasakura, Naoki ![]() ![]() ![]() |
著者名の別形: | 笹倉, 直樹 |
キーワード: | A13 Other topics in mathematical physics B83 Matrix models E05 Quantum gravity |
発行日: | Apr-2021 |
出版者: | Oxford University Press (OUP) Physical Society of Japan |
誌名: | Progress of Theoretical and Experimental Physics |
巻: | 2021 |
号: | 4 |
論文番号: | 043A01 |
抄録: | We study a one-matrix model of a real symmetric matrix with a potential which is a sum of two logarithmic functions and a harmonic one. This two-logarithm matrix model is the absolute square norm of a toy wave function which is obtained by replacing the tensor argument of the wave function of the canonical tensor model (CTM) with a matrix. We discuss a symmetry enhancement phenomenon in this matrix model and show that symmetries and dimensions of emergent spaces are stable only in a phase which exists exclusively for the positive cosmological constant case in the sense of CTM. This would imply the importance of the positivity of the cosmological constant in the emergence phenomena in CTM. |
著作権等: | © The Author(s) 2021. Published by Oxford University Press on behalf of the Physical Society of Japan. This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.Funded by SCOAP3 |
URI: | http://hdl.handle.net/2433/274756 |
DOI(出版社版): | 10.1093/ptep/ptab034 |
出現コレクション: | 学術雑誌掲載論文等 |
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