Summing Over World-Sheet Boundaries
Michael B. Green, Joe Polchinski
TL;DR
This paper proposes a method for summing over orientable Riemann surfaces with boundaries by parametrizing boundary moduli through electric charge positions and strengths, relevant for string theory calculations.
Contribution
It introduces a novel approach to summing over Riemann surfaces with boundaries using electric charge parameters, including a light-cone boundary parametrization.
Findings
A new boundary summation method for Riemann surfaces.
Parametrization of boundary moduli via electric charges.
Discussion of light-cone boundary parametrization.
Abstract
The moduli associated with boundaries in a Riemann surface are parametrized by the positions and strengths of electric charges. This suggests a method for summing over orientable Riemann surfaces with Dirichlet boundary conditions on the embedding coordinates. A light-cone parameterization of such boundaries is also discussed.
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