2024/08/27 by Joung, Euihun, Oh, TaeHwan
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2408.14783
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.