2014年4月21日
Five dimensional $O(N)$-symmetric CFTs from conformal bootstrap
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
- ,
- 巻
- 734
- 号
- 開始ページ
- 193
- 終了ページ
- 197
- 記述言語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.physletb.2014.05.058
We investigate the conformal bootstrap approach to $O(N)$ symmetric CFTs in
five dimension with particular emphasis on the lower bound on the current
central charge. The bound has a local minimum for all $N>1$, and in the large
$N$ limit we propose that the minimum is saturated by the critical $O(N)$
vector model at the UV fixed point, the existence of which has been recently
argued by Fei, Giombi, and Klebanov. The location of the minimum is generically
different from the minimum of the lower bound of the energy-momentum tensor
central charge when it exists for smaller $N$.
To better understand the situation, we examine the lower bounds of the
current central charge of $O(N)$ symmetric CFTs in three dimension to compare.
We find the similar agreement in the large $N$ limit but the discrepancy for
smaller $N$ with the other sectors of the conformal bootstrap.
five dimension with particular emphasis on the lower bound on the current
central charge. The bound has a local minimum for all $N>1$, and in the large
$N$ limit we propose that the minimum is saturated by the critical $O(N)$
vector model at the UV fixed point, the existence of which has been recently
argued by Fei, Giombi, and Klebanov. The location of the minimum is generically
different from the minimum of the lower bound of the energy-momentum tensor
central charge when it exists for smaller $N$.
To better understand the situation, we examine the lower bounds of the
current central charge of $O(N)$ symmetric CFTs in three dimension to compare.
We find the similar agreement in the large $N$ limit but the discrepancy for
smaller $N$ with the other sectors of the conformal bootstrap.
- リンク情報
-
- DOI
- https://doi.org/10.1016/j.physletb.2014.05.058
- arXiv
- http://arxiv.org/abs/arXiv:1404.5201
- URL
- http://arxiv.org/abs/1404.5201v2
- URL
- http://arxiv.org/pdf/1404.5201v2 本文へのリンクあり
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- https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84901506603&origin=inward 本文へのリンクあり
- Scopus Citedby
- https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84901506603&origin=inward
- ID情報
-
- DOI : 10.1016/j.physletb.2014.05.058
- ISSN : 0370-2693
- arXiv ID : arXiv:1404.5201
- SCOPUS ID : 84901506603