論文

査読有り
2020年11月13日

Localization of three-dimensional $\mathcal{N}=2$ supersymmetric theories on $S^1 \times D^2$

Progress of Theoretical and Experimental Physics
  • Yutaka Yoshida
  • ,
  • Katsuyuki Sugiyama

2020
11
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1093/ptep/ptaa136
出版者・発行元
Oxford University Press (OUP)

<title>Abstract</title>
We study three-dimensional $\mathcal{N}=2$ supersymmetric Chern—Simons matter theories on the direct product of a circle and a two-dimensional hemisphere ($S^1 \times {D^2}$) with specified boundary conditions by the method of localization. We construct boundary interactions to cancel the supersymmetric variation of the three-dimensional superpotential term and the Chern—Simons term and show inflows of the bulk—boundary anomalies. We find that the boundary conditions induce two-dimensional $\mathcal{N}=(0,2)$-type supersymmetry on the boundary torus. We also study the relation between the three-dimensional—two-dimensional coupled partition function of our model and three-dimensional holomorphic blocks.

リンク情報
DOI
https://doi.org/10.1093/ptep/ptaa136
arXiv
http://arxiv.org/abs/arXiv:1409.6713
URL
http://academic.oup.com/ptep/advance-article-pdf/doi/10.1093/ptep/ptaa136/33729329/ptaa136.pdf
URL
http://academic.oup.com/ptep/article-pdf/2020/11/113B02/34299922/ptaa136.pdf

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