Kaluza-Klein trombone mass matrices and universal class $\mathcal{R}$ operator spectra
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917371815395328 |
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| author | Pico, Martin Varela, Oscar |
| author_facet | Pico, Martin Varela, Oscar |
| contents | We determine universal sectors of the light operator spectrum that are present in all A$_{N-1}$ superconformal field theories $T_N[Σ_3]$ of class $\mathcal{R}$, with $Σ_3$ a compact hyperbolic three-manifold. We do this at large $N$ by holographically mapping the problem to a Kaluza-Klein spectral analysis over previously known dual anti-de Sitter backgrounds related to wrapped M5-brane configurations. Associated to these, $D=4$ $\mathcal{N}=8$ supergravities have been recently constructed that allow for the application of spectral techniques based on exceptional generalised geometry/field theory. We derive the Kaluza-Klein mass matrices that arise when the seed lower-dimensional maximal supergravity involves gaugings of the trombone scaling symmetry, as pertains to the case at hand, and diagonalise them to find the universal Kaluza-Klein states. In general, these universal spectra are only defined locally, and we give a prescription to isolate globally-defined sectors therein. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_28908 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Kaluza-Klein trombone mass matrices and universal class $\mathcal{R}$ operator spectra Pico, Martin Varela, Oscar High Energy Physics - Theory We determine universal sectors of the light operator spectrum that are present in all A$_{N-1}$ superconformal field theories $T_N[Σ_3]$ of class $\mathcal{R}$, with $Σ_3$ a compact hyperbolic three-manifold. We do this at large $N$ by holographically mapping the problem to a Kaluza-Klein spectral analysis over previously known dual anti-de Sitter backgrounds related to wrapped M5-brane configurations. Associated to these, $D=4$ $\mathcal{N}=8$ supergravities have been recently constructed that allow for the application of spectral techniques based on exceptional generalised geometry/field theory. We derive the Kaluza-Klein mass matrices that arise when the seed lower-dimensional maximal supergravity involves gaugings of the trombone scaling symmetry, as pertains to the case at hand, and diagonalise them to find the universal Kaluza-Klein states. In general, these universal spectra are only defined locally, and we give a prescription to isolate globally-defined sectors therein. |
| title | Kaluza-Klein trombone mass matrices and universal class $\mathcal{R}$ operator spectra |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.28908 |