The Master Equation of 2D String Theory

Abstract

A general method is presented for deriving on-shell Ward-identities in (2D) string theory. It is shown that all tree-level Ward identities can be summarized in a quadratic differential equation for the generating function of tree-amplitudes. This result is extended to loop amplitudes and leads to a master equation \`a la Batalin-Vilkovisky for the complete partition function.

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