Combinatorics of Solitons in Noncritical String Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, LaTeX

Scientific paper

10.1016/S0370-2693(96)01642-5

We study the combinatorics of solitons in $D<2$ (or $c<1$) string theory. The
weights in the summation over multi-solitons are shown to be automatically
determined if we further require that the partition function with soliton
background be a $\tau$ function of the KP hierarchy, in addition to the
$W_{1+\infty}$ constraint.

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