Central Charges and Vacuum Moduli of 2d N=(0,4) Theories from Class S

2025/12/29 by Cui, Wei, Huang, Junkang, Huang, Zi-Xiao +2
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2512.23481

Abstract

We investigate 2d N=(0,4) supersymmetric theories obtained from a topologically-twisted reduction of 4d N=2 class 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.

Citations

• 2d dualities from 4d
• Infrared phases of 2d QCD
• Superconformal Index, BPS Monodromy and Chiral Algebras
• Fivebranes and 4-manifolds
• Wall-crossing, Hitchin Systems, and the WKB Approximation
• Holomorphic reduction of N=2 gauge theories, Wilson-'t Hooft operators, and S-duality
• N=4 Supersymmetric Yang-Mills Theory on a Kaehler Surface

Related

• Families of N=2 field theories
• Geometric constraints on the space of N=2 SCFTs III: enhanced Coulomb branches and central charges
• Class S on S²
• N=2 Superconformal Field Theories in 4 Dimensions and A-D-E Classification
• 2d dualities from 4d