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Bootstrapping boundary-localized interactions II. minimal models at the boundary

Abstract:
We provide evidence for the existence of non-trivial unitary conformal boundary conditions for a three-dimensional free scalar field, which can be obtained via a coupling to the m’th unitary diagonal minimal model. For large m we can demonstrate the existence of the fixed point perturbatively, and for smaller values we use the numerical conformal bootstrap to obtain a sharp kink that smoothly matches onto the perturbative predictions. The wider numerical analysis also yields universal bounds for the spectrum of any other boundary condition for the free scalar field. A second kink in these bounds hints at a second class of non-standard boundary conditions, as yet unidentified.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/JHEP03(2022)146

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author


Publisher:
Springer
Journal:
Journal of High Energy Physics More from this journal
Volume:
2022
Issue:
3
Article number:
146
Publication date:
2022-03-22
Acceptance date:
2022-03-06
DOI:
EISSN:
1029-8479
ISSN:
1029-8479


Language:
English
Keywords:
Pubs id:
1250683
Local pid:
pubs:1250683
Deposit date:
2022-05-25
ARK identifier:

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