Twistor approach to higher-spin theories and matrix model
Abstract
We discuss recent endeavours in connecting twistor theory to higher-spin theories and the IKKT- matrix model. Starting with a brief review on higher-spin algebra hs in four-dimensional target space, we elucidate how higher-spin symmetry can be encoded in hs-valued sections/holomorphic differential forms on (non-commutative) twistor space. This provides an efficient way to construct local higher-spin theories in spacetime from some actions on (non-commutative) twistor space. Remarkably, some higher-spin theories obtained within the framework of twistor theory can have non-trivial scattering amplitudes in flat space.
Cite
@article{arxiv.2211.10484,
title = {Twistor approach to higher-spin theories and matrix model},
author = {Tung Tran},
journal= {arXiv preprint arXiv:2211.10484},
year = {2022}
}
Comments
26 pages. Contribution to the proceedings of the Corfu Summer Institute 2022 "School and Workshops on Elementary Particle Physics and Gravity". V2: references added, minor improvement