2017年5月8日
Bootstrap experiments on higher dimensional CFTs
International Journal of Modern Physics A
- 巻
- 33
- 号
- 7
- 記述言語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1142/S0217751X18500367
Recent programs on conformal bootstrap suggest an empirical relationship
between the existence of non-trivial conformal field theories and non-trivial
features such as a kink in the unitarity bound of conformal dimensions in the
conformal bootstrap equations. We report the existene of non-trivial kinks in
the unitarity bound of scalar operators in the adjoint representation of the
$SU(N)$ symmetric conformal field theories. They have interesting properties
(1) the kinks exist in $d<6$ dimensions (2) the location of kinks are when the
unitarity bound hits the space-time dimension $d$ (3) there exists a "conformal
window" of $N<N_*$, where $N_* \sim 15 $ in $d=4$ and $N_* \sim 20$ in $d=5$.
between the existence of non-trivial conformal field theories and non-trivial
features such as a kink in the unitarity bound of conformal dimensions in the
conformal bootstrap equations. We report the existene of non-trivial kinks in
the unitarity bound of scalar operators in the adjoint representation of the
$SU(N)$ symmetric conformal field theories. They have interesting properties
(1) the kinks exist in $d<6$ dimensions (2) the location of kinks are when the
unitarity bound hits the space-time dimension $d$ (3) there exists a "conformal
window" of $N<N_*$, where $N_* \sim 15 $ in $d=4$ and $N_* \sim 20$ in $d=5$.
- リンク情報
-
- DOI
- https://doi.org/10.1142/S0217751X18500367
- arXiv
- http://arxiv.org/abs/arXiv:1705.02744
- URL
- http://arxiv.org/abs/1705.02744v1
- URL
- http://arxiv.org/pdf/1705.02744v1 本文へのリンクあり
- Scopus
- https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85042774850&origin=inward
- Scopus Citedby
- https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85042774850&origin=inward
- ID情報
-
- DOI : 10.1142/S0217751X18500367
- ISSN : 0217-751X
- arXiv ID : arXiv:1705.02744
- SCOPUS ID : 85042774850