Abstract
We present the inverse Penrose transform (the map from spacetime to twistor space) for self-dual Yang-Mills (SDYM) and its higher-spin extensions on a flat background. The twistor action for the higher-spin extension of SDYM (HS-SDYM) is of \( \mathcal{BF} \)-type. By considering a deformation away from the self-dual sector of HS-SDYM, we discover a new action that describes a higher-spin extension of Yang-Mills theory (HS-YM). The twistor action for HS-YM is a straightforward generalization of the Yang-Mills one.
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Tran, T. Twistor constructions for higher-spin extensions of (self-dual) Yang-Mills. J. High Energ. Phys. 2021, 117 (2021). https://doi.org/10.1007/JHEP11(2021)117
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DOI: https://doi.org/10.1007/JHEP11(2021)117