2025/05/20 by Tung Tran, Tran, Tung · 5 citations
Physics and Astronomy · #Anomaly (physics) #Cosmology and Gravitation Theories #Extension (predicate logic) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Holomorphic function #Mathematical Physics (math-ph) #Particle physics theoretical and experimental studies #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum field theory #Space (punctuation) #Twistor space #Twistor theory
paper · pdf · doi:10.48550/arxiv.2505.13785
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2025/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present twistor BV actions that encompasses many classically consistent bosonic holomorphic twistorial higher-spin theories with vanishing cosmological constant. Upon quantization, these actions are shown to be quantum consistent, i.e. no gauge anomaly, for some subclasses of twistorial higher-spin theories. Anomaly-free twistorial theories can be identified through an index theorem, which is a higher-spin extension of the Hirzebruch-Riemann-Roch index theorem. We also discuss the anomaly cancellation mechanisms on twistor space to render anomalous theories quantum consistent at one loop.