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タイトル: Aspects of massive gauge theories on three sphere in infinite mass limit
著者: Shimizu, Kazuma
著者名の別形: 清水, 数馬
キーワード: Supersymmetric Gauge Theory
Matrix Models
1/N Expansion
Field Theories in Lower Dimensions
発行日: Jan-2019
出版者: Springer Nature
誌名: Journal of High Energy Physics
巻: 2019
論文番号: 90
抄録: We study the S3 partition function of three-dimensional supersymmetric N=4 U(N) SQCD with massive matter multiplets in the infinite mass limit with the so-called Coulomb branch localization. We show that in the infinite mass limit a specific point of the Coulomb branch is selected and contributes dominantly to the partition function. Therefore, we can argue whether each multiplet included in the theory is effectively massless in this limit, even on S3, and conclude that the partition function becomes that of the effective theory on the specific point of the Coulomb branch in the infinite mass limit. In order to investigate which point of the Coulomb branch is dominant, we use the saddle point approximation in the large N limit because the solution of the saddle point equation can be regarded as a specific point of the Coulomb branch. Then, we calculate the partition functions for small rank N and confirm that their behaviors in the infinite mass limit are consistent with the conjecture from the results in the large N limit. Our result suggests that the partition function in the infinite mass limit corresponds to that of an interacting superconformal field theory.
著作権等: © The Author(s) 2019. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
URI: http://hdl.handle.net/2433/236426
DOI(出版社版): 10.1007/JHEP01(2019)090
出現コレクション:学術雑誌掲載論文等

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