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Supplementary notes from Vadim Kaplunovsky's course at the University of Texas at Austin; PDF has no byline.

Vadim Kaplunovsky calculated quantum corrections to gauge-coupling relations in string theory. His work shows how the first corrections in perturbation theory modify simple classical relations among the coupling constants of low-energy gauge theories. The calculation connects an assumed string vacuum with quantities such as the weak mixing angle and the scale of quantum chromodynamics. His corrected complete paper also distinguishes the revised calculation from a separately published erratum, which matters when using its numerical normalization.^[ref]

A physicist.^[ref]