Spinors in Supersymmetric dS/CFT
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
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2019
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| _version_ | 1866929754292092928 |
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| author | Hertog, Thomas Tartaglino-Mazzucchelli, Gabriele Venken, Victoria |
| author_facet | Hertog, Thomas Tartaglino-Mazzucchelli, Gabriele Venken, Victoria |
| contents | We study fermionic bulk fields in the dS/CFT dualities relating ${\cal N}=2$ supersymmetric Euclidean vector models with reversed spin-statistics in three dimensions to supersymmetric Vasiliev theories in four-dimensional de Sitter space. These dualities specify the Hartle - Hawking wave function in terms of the partition function of deformations of the vector models. We evaluate this wave function in homogeneous minisuperspace models consisting of supersymmetry-breaking combinations of a half-integer spin field with either a scalar, a pseudoscalar or a metric squashing. The wave function appears to be well-behaved and globally peaked at or near the supersymmetric de Sitter vacuum, with a low amplitude for large deformations. Its behavior in the semiclassical limit qualitatively agrees with earlier bulk computations both for massless and massive fermionic fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1905_01322 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Spinors in Supersymmetric dS/CFT Hertog, Thomas Tartaglino-Mazzucchelli, Gabriele Venken, Victoria High Energy Physics - Theory General Relativity and Quantum Cosmology We study fermionic bulk fields in the dS/CFT dualities relating ${\cal N}=2$ supersymmetric Euclidean vector models with reversed spin-statistics in three dimensions to supersymmetric Vasiliev theories in four-dimensional de Sitter space. These dualities specify the Hartle - Hawking wave function in terms of the partition function of deformations of the vector models. We evaluate this wave function in homogeneous minisuperspace models consisting of supersymmetry-breaking combinations of a half-integer spin field with either a scalar, a pseudoscalar or a metric squashing. The wave function appears to be well-behaved and globally peaked at or near the supersymmetric de Sitter vacuum, with a low amplitude for large deformations. Its behavior in the semiclassical limit qualitatively agrees with earlier bulk computations both for massless and massive fermionic fields. |
| title | Spinors in Supersymmetric dS/CFT |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/1905.01322 |