Abstract :
[en] Abstract: We highlight and clarify the connection between several ideas and self-dual theories: (a) the operator product expansion (OPE) associativity in celestial conformal field theory (CCFT); (b) the vanishing of tree-level amplitudes; (c) the Jacobi identity for the “gauge” algebra; (d) the light-cone holomorphic constraints. Naturally, (b), (c), or (d) are closely related to self-duality. In particular, the recently classified [1] chiral higher-spin theories with one- and two-derivative interactions (i.e. with gauge and gravitational interactions, which are extensions of self-dual Yang-Mills and self-dual gravity) also satisfy the OPE associativity constraint. We discuss the OPE associativity constraint and the holomorphic constraint for the most general class of cubic vertices.
Funding text :
This project has received funding from the European Research Council (ERC) under the
European Union’s Horizon 2020 research and innovation programme (grant agreement No
101002551). I am grateful to Evgeny Skvortsov for suggesting to elaborate on [8] and for
many useful discussions. I am grateful to Akshay Yelleshpur Srikant and Dmitry Ponomarev
for useful comments on the draft. I thank the anonymous Referee for the valuable suggestions
and insightful questions.
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