Bootstrapping boundary-localized interactions II. minimal models at the boundary
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 perturbati...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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Springer
2022
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| _version_ | 1797106967702929408 |
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| author | Behan, C Di Pietro, L Lauria, E van Rees, BC |
| author_facet | Behan, C Di Pietro, L Lauria, E van Rees, BC |
| author_sort | Behan, C |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T07:08:28Z |
| format | Journal article |
| id | oxford-uuid:e0efb7ae-30d5-400b-82e5-68f6276bcba0 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:08:28Z |
| publishDate | 2022 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:e0efb7ae-30d5-400b-82e5-68f6276bcba02022-05-25T14:03:47ZBootstrapping boundary-localized interactions II. minimal models at the boundaryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e0efb7ae-30d5-400b-82e5-68f6276bcba0EnglishSymplectic ElementsSpringer2022Behan, CDi Pietro, LLauria, Evan Rees, BCWe 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. |
| spellingShingle | Behan, C Di Pietro, L Lauria, E van Rees, BC Bootstrapping boundary-localized interactions II. minimal models at the boundary |
| title | Bootstrapping boundary-localized interactions II. minimal models at the boundary |
| title_full | Bootstrapping boundary-localized interactions II. minimal models at the boundary |
| title_fullStr | Bootstrapping boundary-localized interactions II. minimal models at the boundary |
| title_full_unstemmed | Bootstrapping boundary-localized interactions II. minimal models at the boundary |
| title_short | Bootstrapping boundary-localized interactions II. minimal models at the boundary |
| title_sort | bootstrapping boundary localized interactions ii minimal models at the boundary |
| work_keys_str_mv | AT behanc bootstrappingboundarylocalizedinteractionsiiminimalmodelsattheboundary AT dipietrol bootstrappingboundarylocalizedinteractionsiiminimalmodelsattheboundary AT lauriae bootstrappingboundarylocalizedinteractionsiiminimalmodelsattheboundary AT vanreesbc bootstrappingboundarylocalizedinteractionsiiminimalmodelsattheboundary |