Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-04-28
Mod. Phys. Lett. A8 (1993) 1259-1272
Physics
High Energy Physics
High Energy Physics - Theory
11 pages
Scientific paper
It is well-known that solutions to the string equation are generated by elements of Sato's Grassmannian which are invariant under action of some differential operator. Here it is shown that this operator is nothing else than the infinitesimal operator of the group of additional symmetries of the KdV flow. This is done for KdV hierarchies of arbitrary orders. Virasoro constraints are obtained in a slightly more general form than they are usually written.
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