Abstract
Abstract
We consider two conformal defects close to each other in a free theory, and study what happens as the distance between them goes to zero. This limit is the same as zooming out, and the two defects have fused to another defect. As we zoom in we find a non-conformal effective action for the fused defect. Among other things this means that we cannot in general decompose the two-point correlator of two defects in terms of other conformal defects. We prove the fusion using the path integral formalism by treating the defects as sources for a scalar in the bulk.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference29 articles.
1. C. P. Herzog and N. Kobayashi, The O(N) model with ϕ6 potential in R2 × R+, JHEP 09 (2020) 126 [arXiv:2005.07863] [INSPIRE].
2. C. Behan, L. Di Pietro, E. Lauria and B. C. Van Rees, Bootstrapping boundary-localized interactions, JHEP 12 (2020) 182 [arXiv:2009.03336] [INSPIRE].
3. V. Procházka and A. Söderberg, Spontaneous symmetry breaking in free theories with boundary potentials, arXiv:2012.00701 [INSPIRE].
4. P. Dey and A. Söderberg, On analytic bootstrap for interface and boundary CFT, arXiv:2012.11344 [INSPIRE].
5. M. Billò, V. Gonçalves, E. Lauria and M. Meineri, Defects in conformal field theory, JHEP 04 (2016) 091 [arXiv:1601.02883] [INSPIRE].
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