Journal of High Energy Physics (Nov 2021)

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

  • Tung Tran

DOI
https://doi.org/10.1007/JHEP11(2021)117
Journal volume & issue
Vol. 2021, no. 11
pp. 1 – 23

Abstract

Read online

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.

Keywords