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An excursion into the string spectrum
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DOI：10.1007/JHEP12(2023)055.png)
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Abstract
En 中文
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(center dot), with the Virasoro constraints forming a subalgebra of the Howe dual algebra sp(center dot). There are then infinitely many simple trajectories of states, which are lowest-weight representations of sp(center dot) 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.
Keywords:
Bosonic Strings
BRST Quantization
Journal
IF:
5.5
Papers:
3.9W
Citations:
13.7W