2023/09/27 by Markou, Chrysoula, Skvortsov, Evgeny · 4 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2309.15988
We propose a covariant technique to excavate physical bosonic string states by entire trajectories rather than individually. The approach is based on Howe duality: the string's spacetime Lorentz algebra commutes with a certain inductive limit of sp(\bullet), with the Virasoro constraints forming a subalgebra of the Howe dual algebra sp(\bullet). There are then infinitely many simple trajectories of states, which are lowest-weight representations of sp(\bullet) and hence of the Virasoro algebra. Deeper trajectories are recurrences of the simple ones and can be probed by suitable trajectory-shifting operators built out of the Howe dual algebra generators. We illustrate the formalism with a number of subleading trajectories and compute a sample of tree-level amplitudes.