Enumerating 6D supergravities with $T\leq 1$
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2024
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| _version_ | 1866914753459257344 |
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| author | Hamada, Yuta Loges, Gregory J. |
| author_facet | Hamada, Yuta Loges, Gregory J. |
| contents | The space of 6D supergravities with minimal supersymmetry is greatly constrained by anomaly cancellation. Nevertheless, a large number of models satisfy all low-energy consistency conditions and in this work we make progress towards exhaustively enumerating all anomaly-free models with at most one tensor multiplet. Generalizing previous techniques, we describe a general algorithm using multi-hypergraphs and simplicial complexes to systematically enumerate anomaly-free models with gauge groups of any number of simple factors and with hypermultiplets falling into any representations. Using these new ideas, we obtain a \emph{complete} list of anomaly-free models for $T\leq 1$, the only simplifying assumption being that the gauge group contains no $\operatorname{U}(1)$, $\operatorname{SU}(2)$, $\operatorname{SU}(3)$ or $\operatorname{Sp}(2)$ factors. We also study how many/which models in this ensemble satisfy several UV and swampland bounds which have been proposed and previously utilized to great effect, finding that none are ruled out for $T=0$ and $\approx\!50\%$ are inconsistent with quantum gravity for $T=1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08845 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Enumerating 6D supergravities with $T\leq 1$ Hamada, Yuta Loges, Gregory J. High Energy Physics - Theory High Energy Physics - Phenomenology The space of 6D supergravities with minimal supersymmetry is greatly constrained by anomaly cancellation. Nevertheless, a large number of models satisfy all low-energy consistency conditions and in this work we make progress towards exhaustively enumerating all anomaly-free models with at most one tensor multiplet. Generalizing previous techniques, we describe a general algorithm using multi-hypergraphs and simplicial complexes to systematically enumerate anomaly-free models with gauge groups of any number of simple factors and with hypermultiplets falling into any representations. Using these new ideas, we obtain a \emph{complete} list of anomaly-free models for $T\leq 1$, the only simplifying assumption being that the gauge group contains no $\operatorname{U}(1)$, $\operatorname{SU}(2)$, $\operatorname{SU}(3)$ or $\operatorname{Sp}(2)$ factors. We also study how many/which models in this ensemble satisfy several UV and swampland bounds which have been proposed and previously utilized to great effect, finding that none are ruled out for $T=0$ and $\approx\!50\%$ are inconsistent with quantum gravity for $T=1$. |
| title | Enumerating 6D supergravities with $T\leq 1$ |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2404.08845 |