Anomaly-free twistorial higher-spin theories

2025/05/20 by Tung Tran, Tran, Tung · 5 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2505.13785

openalex publication_date 2025/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Cited by

• Three-dimensional non-relativistic chiral massive higher-spin gravity
• Causality of higher-spin interactions on the (A)dS lightcone, with application to the static patch
• Lorentz covariant on-shell cubic vertices for continuous-spin fields and integer-spin fields
• Associativity of celestial OPE, higher spins and self-duality
• Higher-spins on Taub-NUT and higher-spin Taub-NUT

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