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<p>We determine universal sectors of the light operator spectrum that are present in all A<sub><i>N−</i>1</sub> superconformal field theories <i>T</i><sub><i>N</i></sub>[Σ<sub>3</sub>] of class ℛ, with Σ<sub>3</sub> a compact hyperbolic three-manifold. We do this at large <i>N</i> 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, <i>D</i> = 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.</p>

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

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月1日

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  • Martín Pico,
  • Oscar Varela

摘要

We determine universal sectors of the light operator spectrum that are present in all AN−1 superconformal field theories TN[Σ3] of class ℛ, with Σ3 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.