Loop corrected supercharges from holomorphic anomalies

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 N N = 4 SYM, where it admits a remarkably compact expression in terms of superfields.