A universal sector of 𝒩=1 class 𝒮 spectra
Abstract
We determine a universal sector of the spectrum of light operators in four-dimensional 𝒩=1 class 𝒮 superconformal field theories arising from M5-branes wrapped on a compact hyperbolic Riemann surface Σ2. 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 Σ2 by imposing a suitable z-dependent generalised G-structure. We then organise the resulting eigenstates into long and protected 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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BibTeX
@misc{bhattacharya2026universal,
title = {{A universal sector of $\mathcalN=1$ class $\mathcalS$ spectra}},
author = {Ritabrata Bhattacharya and Abhay Katyal and Oscar Varela},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.13938},
eprint = {2610.13938},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.13938},
}
RIS
TY - UNPB
TI - A universal sector of 𝒩=1 class 𝒮 spectra
AU - Ritabrata Bhattacharya
AU - Abhay Katyal
AU - Oscar Varela
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2610.13938
UR - https://arxiv.org/abs/2610.13938
AB - We determine a universal sector of the spectrum of light operators in four-dimensional 𝒩=1 class 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 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.
ER -