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タイトル: Matrix model of Chern–Simons matter theories beyond the spherical limit
著者: Yokoyama, Shuichi
著者名の別形: 横山, 修一
キーワード: B04 Quantization and formalism
B35 Solitons
monopoles and instantons
1/N expansion
B83 Matrix models
発行日: 1-Apr-2018
出版者: Oxford University Press (OUP)
誌名: Progress of Theoretical and Experimental Physics
巻: 2018
号: 4
論文番号: 043B02
抄録: A class of matrix models that arises as a partition function in U(N) Chern–Simons matter theories on the three-sphere is investigated. Employing the standard technique of 1/N expansion we solve the system beyond the planar limit. In particular, we study a case where the matrix model potential has 1/N correction and give a general solution thereof up to the order of 1/N². We confirm that the general solution correctly reproduces the past exact result of the free energy up to the order in the case of pure Chern–Simons theory. We also apply to the matrix model of N=2 Chern–Simons theory with arbitrary numbers of fundamental chiral multiplets and anti-fundamental ones, which does not admit Fermi gas analysis in general.
著作権等: © The Author 2018. 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 (http://creativecommons.org/licenses/by/4.0/), 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/2433/230956
DOI(出版社版): 10.1093/ptep/pty028
出現コレクション:学術雑誌掲載論文等

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