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Peer-reviewedCC BY 4.0SciPost Physics

Central charges and vacuum moduli of 2d š¯’©=(0,4) theories from class š¯’®

  • Wei Cui1
  • Junkang Huang2
  • Zi-Xiao Huang2
  • Satoshi Nawata2
  • Shutong Zhuang2
  1. 1Beijing Institute of Mathematical Sciences and Applications
  2. 2Fudan University
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Abstract

We investigate 2d \mathcal{N}=(0,4) š¯’© = ( 0 , 4 ) supersymmetric theories obtained from a topologically-twisted reduction of 4d \mathcal{N}=2 š¯’© = 2 class \mathcal{S} š¯’® 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) S U ( 2 ) , we use Lagrangian descriptions to analyze the vacuum moduli spaces. In particular, we examine two distinct branchesā€”the special Higgs branch and the twisted Higgs branchā€”by computing their Hilbert series, and find agreement with the proposed central charge formulas.

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Cite

BibTeXRIS
BibTeX
@article{cui2026central,
  title = {{Central charges and vacuum moduli of 2d $\mathcalN=(0,4)$ theories from class $\mathcalS$}},
  author = {Wei Cui and Junkang Huang and Zi-Xiao Huang and Satoshi Nawata and Shutong Zhuang},
  journal = {SciPost Physics},
  year = {2026},
  month = oct,
  doi = {10.21468/scipostphys.21.4.086},
  url = {https://scipost.org/10.21468/SciPostPhys.21.4.086},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Central charges and vacuum moduli of 2d š¯’©=(0,4) theories from class š¯’®
AU  - Wei Cui
AU  - Junkang Huang
AU  - Zi-Xiao Huang
AU  - Satoshi Nawata
AU  - Shutong Zhuang
PY  - 2026
DA  - 2026/10/08
JO  - SciPost Physics
DO  - 10.21468/scipostphys.21.4.086
UR  - https://scipost.org/10.21468/SciPostPhys.21.4.086
AB  - We investigate 2d \mathcal{N}=(0,4) š¯’© = ( 0 , 4 ) supersymmetric theories obtained from a topologically-twisted reduction of 4d \mathcal{N}=2 š¯’© = 2 class \mathcal{S} š¯’® 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) S U ( 2 ) , we use Lagrangian descriptions to analyze the vacuum moduli spaces. In particular, we examine two distinct branchesā€”the special Higgs branch and the twisted Higgs branchā€”by computing their Hilbert series, and find agreement with the proposed central charge formulas.
SN  - 2542-4653
ER  -