TL;DR
This paper introduces a comprehensive method to derive Ward identities in 2D string theory, culminating in a master equation that encapsulates all tree and loop amplitude relations.
Contribution
It presents a novel quadratic differential equation for generating functions and extends it to a master equation for the full partition function in 2D string theory.
Findings
Derivation of on-shell Ward identities using a new method
Formulation of a quadratic differential equation for tree amplitudes
Extension to a master equation for loop amplitudes and the partition function
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 {\it \`{a} la} Batalin-Vilkovisky for the complete partition function.
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