Journal article
Bootstrapping boundary-localized interactions
- Abstract:
- We study conformal boundary conditions for the theory of a single real scalar to investigate whether the known Dirichlet and Neumann conditions are the only possibilities. For this free bulk theory there are strong restrictions on the possible boundary dynamics. In particular, we find that the bulk-to-boundary operator expansion of the bulk field involves at most a ‘shadow pair’ of boundary fields, irrespective of the conformal boundary condition. We numerically analyze the four-point crossing equations for this shadow pair in the case of a three-dimensional boundary (so a four-dimensional scalar field) and find that large ranges of parameter space are excluded. However a ‘kink’ in the numerical bounds obeys all our consistency checks and might be an indication of a new conformal boundary condition.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 1.3MB, Terms of use)
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- Publisher copy:
- 10.1007/JHEP12(2020)182
Authors
- Publisher:
- Springer
- Journal:
- Journal of High Energy Physics More from this journal
- Volume:
- 2020
- Issue:
- 12
- Article number:
- 182
- Publication date:
- 2020-12-28
- Acceptance date:
- 2020-11-16
- DOI:
- EISSN:
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1029-8479
- ISSN:
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1126-6708
- Language:
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English
- Keywords:
- Pubs id:
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1152395
- Local pid:
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pubs:1152395
- Deposit date:
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2021-06-28
- ARK identifier:
Terms of use
- Copyright holder:
- Behan et al.
- Copyright date:
- 2020
- Rights statement:
- © The Authors 2020. Open Access. 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.
- Licence:
- CC Attribution (CC BY)
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