2025/12/08 by Kasia Budzik, Justin Kulp, Budzik, Kasia +1 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #BRST quantization #Black Holes and Theoretical Physics #Conformal map #Formalism (music) #Gauge theory #Holomorphic function #Orbifold #Quantum Chromodynamics and Particle Interactions #Supercharge #Supersymmetry #Twist #hep-th #math-ph #math.MP #math.QA
paper · pdf · open access · doi:10.48550/arxiv.2512.07771
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2025/12/08 · openalex created_date 2025/12/10 · openalex updated_date 2026/07/28
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=4 SYM, where it admits a remarkably compact expression in terms of superfields.