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Bootstrapping boundary-localized interactions

Behan C.
•
Di Pietro L.
•
Lauria E.
•
van Rees B. C.
2020
  • journal article

Periodico
JOURNAL OF HIGH ENERGY PHYSICS
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.
DOI
10.1007/JHEP12(2020)182
WOS
WOS:000603654500003
Archivio
http://hdl.handle.net/11368/2978059
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85104385250
https://link.springer.com/article/10.1007/JHEP12(2020)182
Diritti
open access
FVG url
https://arts.units.it/bitstream/11368/2978059/1/Behan2020_Article_BootstrappingBoundary-localize.pdf
Soggetti
  • Boundary Quantum Fiel...

  • Conformal Field Theor...

Scopus© citazioni
14
Data di acquisizione
Jun 14, 2022
Vedi dettagli
Web of Science© citazioni
27
Data di acquisizione
Mar 23, 2024
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