2018/08/28 by Pius, Roji
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.1808.09441
The complete quantum theory of closed superstrings is constructed using string diagrams endowed with metric having constant curvature -1. The elementary string diagrams are equipped with the analytic local coordinates induced from the hyperbolic metric and a distribution of a set of picture changing operators constructed using the identities satisfied by the simple closed geodesics on a hyperbolic Riemann surface. However, a slight modification near the boundary of the string vertices is needed to make them satisfy the geometric condition imposed by the quantum Batalin-Vilkovisky master equation.