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arXiv · 1808.09441

Quantum Closed Superstring Field Theory and Hyperbolic Geometry I: Construction of String Vertices

Roji Pius
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Abstract

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.

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Roji Pius. 2018-08-28. Quantum Closed Superstring Field Theory and Hyperbolic Geometry I: Construction of String Vertices. https://arxiv.org/abs/1808.09441

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