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arXiv · hep-th/9212117

The Interacting $W_3$ String

H. Lu·C. N. Pope·S. Schrans·X. J. Wang
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Abstract

We present a procedure for computing gauge-invariant scattering amplitudes in the $W_3$ string, and use it to calculate three-point and four-point functions. We show that non-vanishing scattering amplitudes necessarily involve external physical states with excitations of ghosts as well as matter fields. The crossing properties of the four-point functions are studied, and it is shown that the duality of the Virasoro string amplitudes generalises in the $W_3$ string, with different sets of intermediate states being exchanged in different channels. We also exhibit a relation between the scattering amplitudes of the $W_3$ string and the fusion rules of the Ising model.

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H. Lu, C. N. Pope, S. Schrans, X. J. Wang. 1993-01-04. The Interacting $W_3$ String. https://doi.org/10.1016/0550-3213(93)90040-v

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