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arXiv · 2408.14783

Manifestly Covariant Worldline Actions from Coadjoint Orbits. Part II: Twistorial Descriptions

Euihun Joung·TaeHwan Oh
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Abstract

Worldline actions for various twistor particles in AdS spacetimes are constructed from the coadjoint orbits of $Sp(4,\mathbb R)$, $SU(2,2)$ and $O^*(8)$ as constrained Hamiltonian systems. The constraints are associated with the coadjoint orbits of the dual groups, respectively identified as $O(p,M-p)$, $U(p, M-p)$ and $Sp(p, M-p)$. These actions are presented in a universal form by making use of the twistor variables taking value in $\mathbb R$, $\mathbb C$ and $\mathbb H$, respectively. We find that the massless, massive and the conformal particles (namely the singletons) of any spins appear for the compact dual groups with $p=0$ reproducing many of the results in earlier literature, whereas more exotic particle species, such as various tachyons, continuous spin particles and BdS particles appear for the non-compact dual groups.

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Euihun Joung, TaeHwan Oh. 2024-08-27. Manifestly Covariant Worldline Actions from Coadjoint Orbits. Part II: Twistorial Descriptions. https://arxiv.org/abs/2408.14783

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