Boundary Liouville Conformal Field Theory in Four Dimensions
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
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| _version_ | 1866929436093317120 |
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| author | Gaikwad, Adwait Kislev, Amitay C. Levy, Tom Oz, Yaron |
| author_facet | Gaikwad, Adwait Kislev, Amitay C. Levy, Tom Oz, Yaron |
| contents | Higher dimensional Euclidean Liouville conformal field theories (LCFTs) consist of a log-correlated real scalar field with a background charge and an exponential potential. We analyse the LCFT on a four-dimensional manifold with a boundary. We extend to the boundary, the conformally covariant GJMS operator and the ${\cal Q}$-curvature term in the LCFT action and classify the conformal boundary conditions. Working on a flat space with plate boundary, we calculate the dimensions of the boundary conformal primary operators, the two- and three-point functions of the displacement operator and the boundary conformal anomaly coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_14744 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Boundary Liouville Conformal Field Theory in Four Dimensions Gaikwad, Adwait Kislev, Amitay C. Levy, Tom Oz, Yaron High Energy Physics - Theory Higher dimensional Euclidean Liouville conformal field theories (LCFTs) consist of a log-correlated real scalar field with a background charge and an exponential potential. We analyse the LCFT on a four-dimensional manifold with a boundary. We extend to the boundary, the conformally covariant GJMS operator and the ${\cal Q}$-curvature term in the LCFT action and classify the conformal boundary conditions. Working on a flat space with plate boundary, we calculate the dimensions of the boundary conformal primary operators, the two- and three-point functions of the displacement operator and the boundary conformal anomaly coefficients. |
| title | Boundary Liouville Conformal Field Theory in Four Dimensions |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.14744 |