Loop corrected supercharges from holomorphic anomalies
Abstract
A bstract We describe the loop corrections to supercharges in supersymmetric quantum field theories using the holomorphic twist formalism. We begin by reviewing the relation between supercharge corrections and the “twice-generalized” Konishi anomaly, which corrects the semi -chiral ring. In the holomorphic twist, these corrections appear as BRST anomalies and are computed using the higher operations of an underlying L ∞ conformal algebra. We then apply this formalism to obtain the complete one-loop corrections to the supercharge of four-dimensional Lagrangian supersymmetric gauge theories, including $$ \mathcal{N} $$ N = 4 SYM, where it admits a remarkably compact expression in terms of superfields.
Fields of Study & Subjects
Black Holes and Theoretical Physics
Quantum Chromodynamics and Particle Interactions
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Journal of High Energy Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 8
- Publication date
- 12 August 2026
- Language
- EN