The partition function of 2d string theory

Abstract

We derive a compact and explicit expression for the generating functional of all correlation functions of tachyon operators in 2D string theory. This expression makes manifest relations of the $c=1$ system to KP flow and $W_{1+\infty }$ constraints. Moreover we derive a Kontsevich-Penner integral representation of this generating functional.

28 pages, 3 figures not included, harvmac. Preprint IASSNS-HEP-92/48, YCTP-P22-92

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