Abstract
Abstract
For a single free scalar field in d ≥ 2 dimensions, almost all the unitary conformal defects must be ‘trivial’ in the sense that they cannot hold interesting dynamics. The only possible exceptions are monodromy defects in d ≥ 4 and co-dimension three defects in d ≥ 5. As an intermediate result we show that the n-point correlation functions of a conformal theory with a generalized free spectrum must be those of the generalized free theory.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference67 articles.
1. N. Kobayashi and T. Nishioka, Spinning conformal defects, JHEP 09 (2018) 134 [arXiv:1805.05967] [INSPIRE].
2. M.F. Paulos, S. Rychkov, B.C. van Rees and B. Zan, Conformal invariance in the long-range Ising model, Nucl. Phys. B 902 (2016) 246 [arXiv:1509.00008] [INSPIRE].
3. C. Behan, L. Di Pietro, E. Lauria and B.C. Van Rees, Bootstrapping boundary-localized interactions, JHEP 12 (2020) 182 [arXiv:2009.03336] [INSPIRE].
4. V. Procházka and A. Söderberg, Composite operators near the boundary, JHEP 03 (2020) 114 [arXiv:1912.07505] [INSPIRE].
5. M. Billò, V. Gonçalves, E. Lauria and M. Meineri, Defects in conformal field theory, JHEP 04 (2016) 091 [arXiv:1601.02883] [INSPIRE].
Cited by
50 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献