Vacuum vertices and the ghost-dilaton
Sabbir Rahman, Barton Zwiebach
TL;DR
This paper completes the proof of the ghost-dilaton theorem in string theory by demonstrating the correct coupling constant dependence of vacuum vertices through off-shell amplitude evaluation on tori.
Contribution
It develops a formalism for evaluating off-shell amplitudes on tori to prove the ghost-dilaton theorem at genus one.
Findings
Confirmed the coupling dependence via one-point functions of the ghost-dilaton
Developed a new formalism for off-shell amplitude calculations on tori
Validated the ghost-dilaton theorem at genus one
Abstract
We complete the proof of the ghost-dilaton theorem in string theory by showing that the coupling constant dependence of the vacuum vertices appearing in the closed string action is given correctly by one-point functions of the ghost-dilaton. To prove this at genus one we develop the formalism required to evaluate off-shell amplitudes on tori.
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