Work

Kaluza-Klein trombone mass matrices and universal class ℛ operator spectra

Year: 2026
Type: article
Abstract: A bstract 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 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 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.
Authors: Martín Pico, Oscar Varela
Language: English
Open Access status: diamond
OpenAlex ID: W7167090332
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Cites: 62
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