Anomaly-free twistorial higher-spin theories

Tung Tran

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arXiv · 2505.13785

Anomaly-free twistorial higher-spin theories

Tung Tran

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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.

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Tung Tran. 2025-05-20. Anomaly-free twistorial higher-spin theories. https://arxiv.org/abs/2505.13785

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