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Twistor constructions for higher-spin extensions of (self-dual) Yang-Mills

Tung Tran

Journal of High Energy Physics · 2021

doi:10.1007/jhep11(2021)117 (opens in a new tab)

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Abstract

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 BF $$ \mathcal{BF} $$ -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.

Abstract licence: CC BY

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