Twistor approach to higher-spin theories and matrix model

Tung Tran

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arXiv · 2211.10484

Twistor approach to higher-spin theories and matrix model

Tung Tran

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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.

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Tung Tran. 2022-11-18. Twistor approach to higher-spin theories and matrix model. https://arxiv.org/abs/2211.10484

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