SciPost Submission Page
Central Charges and Vacuum Moduli of 2d $\mathcal{N}=(0,4)$ Theories from Class $\mathcal{S}$
by Wei Cui, Junkang Huang, Zi-Xiao Huang, Satoshi Nawata, Shutong Zhuang
Submission summary
| Authors (as registered SciPost users): | Satoshi Nawata |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2512.23481v1 (pdf) |
| Date submitted: | Jan. 6, 2026, 9:48 a.m. |
| Submitted by: | Satoshi Nawata |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
The author(s) disclose that the following generative AI tools have been used in the preparation of this submission:
ChatGPT5.2 for spell checks of the entire draft.
Abstract
We investigate 2d $\mathcal{N}=(0,4)$ supersymmetric theories obtained from a topologically-twisted reduction of 4d $\mathcal{N}=2$ class $\mathcal{S}$ theories on a Riemann surface. This study addresses subtle aspects of central charges, unbroken gauge groups, and emergent superconformal R-symmetries of these theories. Focusing on infrared vacuum structures, we propose conjectural formulas for the central charges. For theories with the gauge group $SU(2)$, we use a Lagrangian description to analyze the vacuum moduli spaces. In particular, we examine two distinct branches -- the special Higgs branch and the twisted Higgs branch -- by computing their Hilbert series, and find agreement with the proposed central charge formulas.
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