Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 12, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP12(2020)182
Keywords
Boundary Quantum Field Theory; Conformal Field Theory
Categories
Funding
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Research Innovation
- Simons Foundation [488659]
- INFN Iniziativa Specifica STFI
- program Rita Levi Montalcini
- European Research Council (ERC) under the European Union [787185]
- European Research Council (ERC) [787185] Funding Source: European Research Council (ERC)
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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.
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