TL;DR
This paper proves the unitarity of heterotic and type II superstring field theories by demonstrating that only physical states contribute in cut diagrams, considering renormalization effects and vacuum shifts.
Contribution
It completes the proof of unitarity for these theories, including effects of mass renormalization and vacuum shifts, which were not fully addressed before.
Findings
Only physical states appear in intermediate sums
Unitarity holds even with mass and wave-function renormalization
True vacuum may differ from perturbative vacuum by small shifts
Abstract
We complete the proof of unitarity of (compactified) heterotic and type II string field theories by showing that in the cut diagrams only physical states appear in the sum over intermediate states. This analysis takes into account the effect of mass and wave-function renormalization, and the possibility that the true vacuum may be related to the perturbative vacuum by small shifts in the string fields.
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