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JHEP05(2021)074.pdf | 857.86 kB | Adobe PDF | 見る/開く |
タイトル: | Free energy and defect $C$-theorem in free scalar theory |
著者: | Nishioka, Tatsuma ![]() ![]() Sato, Yoshiki |
著者名の別形: | 西岡, 辰磨 |
キーワード: | Conformal Field Theory Anomalies in Field and String Theories Renormalization Group |
発行日: | May-2021 |
出版者: | Springer Nature |
誌名: | Journal of High Energy Physics |
巻: | 2021 |
号: | 5 |
論文番号: | 074 |
抄録: | We describe conformal defects of p dimensions in a free scalar theory on a d-dimensional flat space as boundary conditions on the conformally flat space ℍp+1 × 𝕊d−p−1. We classify two types of boundary conditions, Dirichlet type and Neumann type, on the boundary of the subspace ℍp+1 which correspond to the types of conformal defects in the free scalar theory. We find Dirichlet boundary conditions always exist while Neumann boundary conditions are allowed only for defects of lower codimensions. Our results match with a recent classification of the non-monodromy defects, showing Neumann boundary conditions are associated with non-trivial defects. We check this observation by calculating the difference of the free energies on ℍp+1 × 𝕊d−p−1 between Dirichlet and Neumann boundary conditions. We also examine the defect RG flows from Neumann to Dirichlet boundary conditions and provide more support for a conjectured C-theorem in defect CFTs. |
著作権等: | © The Authors. 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/2433/276563 |
DOI(出版社版): | 10.1007/JHEP05(2021)074 |
出現コレクション: | 学術雑誌掲載論文等 |
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