Quantum Closed Superstring Field Theory and Hyperbolic Geometry I: Construction of String Vertices
arXiv:1808.09441
Abstract
The complete quantum theory of closed superstrings is constructed using string diagrams endowed with metric having constant curvature . 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.
arXiv comment30 pages, 3 figures
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