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arXiv · 2610.13938

A universal sector of $\mathcal{N}=1$ class $\mathcal{S}$ spectra

Ritabrata Bhattacharya·Abhay Katyal·Oscar Varela
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Abstract

We determine a universal sector of the spectrum of light operators in four-dimensional $\mathcal{N}=1$ class $\mathcal{S}$ superconformal field theories arising from M5-branes wrapped on a compact hyperbolic Riemann surface $Σ_2$. We work at large $N$, analysing Kaluza--Klein fluctuations about the dual Bah--Beem--Bobev--Wecht anti-de Sitter backgrounds for general values of the twist parameter $z$. To obtain these spectra, we specialise recently derived mass operators to modes that are constant on $Σ_2$ by imposing a suitable $z$-dependent generalised $G$-structure. We then organise the resulting eigenstates into long and protected $\mathcal{N}=1$ supermultiplets with definite flavour quantum numbers. As $z$ varies, rich patterns emerge in the spectrum, including both isolated multiplets and infinite towers of multiplets, which we characterise analytically.

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Ritabrata Bhattacharya, Abhay Katyal, Oscar Varela. 2026-10-09. A universal sector of $\mathcal{N}=1$ class $\mathcal{S}$ spectra. https://arxiv.org/abs/2610.13938

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