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arXiv · 2512.07771

Loop Corrected Supercharges from Holomorphic Anomalies

Kasia Budzik·Justin Kulp
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Abstract

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 $L_\infty$ 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 $\mathcal{N}=4$ SYM, where it admits a remarkably compact expression in terms of superfields.

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Kasia Budzik, Justin Kulp. 2025-12-08. Loop Corrected Supercharges from Holomorphic Anomalies. https://doi.org/10.1007/jhep08(2026)089

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