Abstract
By using the Krichever and Novikov formalism on a higher-genus Riemann surface Γ we introduce the tachyon vertex operator and also the “interacting” BRST charges onto Γ. The tachyon mass is shown to be independent of the genus. This result suggests that the usual divergence of the loop integral over modular variable should be removed by appropriate regularizations. We also discuss the BRST-invariance of the total hamiltonian including the vertex.
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