Twistor Constructions for Higher-spin Extensions of (Self-dual) Yang-Mills

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-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.

arXiv comment25 pages. v2: corrections, changed title, improved presentation

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• Minimal models of field theories: Chiral Higher Spin Gravity
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• Minimal model of Chiral Higher Spin Gravity
• Chiral Higher Spin Gravity and Convex Geometry
• A Twistorial Description of the IKKT-Matrix Model
• Constraining higher-spin S-matrices
• Chiral approach to partially-massless fields
• Infinite distances in multicritical CFTs and higher-spin holography
• Superfield approach to interacting N=2 massive and massless supermultiplets in 3d flat space
• Massless chiral fields in six dimensions