The Complete Spectrum of the $W_N$ String

Details The Complete Spectrum of the $W_N$ String The Complete Spectrum of the $W_N$ String

1992-01-24

arxiv.org/abs/hep-th/9201050v1

Nucl.Phys.B385:99-126,1992

Physics

High Energy Physics

High Energy Physics - Theory

28 pages

Scientific paper

10.1016/0550-3213(92)90096-T

We obtain the complete physical spectrum of the $W_N$ string, for arbitrary $N$. The $W_N$ constraints freeze $N-2$ coordinates, while the remaining coordinates appear in the currents only {\it via} their energy-momentum tensor. The spectrum is then effectively described by a set of ordinary Virasoro-like string theories, but with a non-critical value for the central charge and a discrete set of non-standard values for the spin-2 intercepts. In particular, the physical spectrum of the $W_N$ string includes the usual massless states of the Virasoro string. By looking at the norms of low-lying states, we find strong indications that all the $W_N$ strings are unitary.

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