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arXiv · 2504.12290

Diffeomorphism in Closed String Field Theory

Ben Mazel·Charles Wang·Xi Yin
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Abstract

We explain how the spacetime diffeomorphism in the classical bosonic closed string field theory (SFT) is represented as $L_\infty$ gauge transformations in weakly curved backgrounds. In particular, we demonstrate the explicit map between covariant spacetime fields and the string fields in the flat-vertex frame to the leading few orders in perturbation theory. We further consider a Batalin-Vilkovisky system of extended string fields that manifests diffeomorphism invariance and allows for extending certain perturbative SFT solutions to the large field regime.

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Ben Mazel, Charles Wang, Xi Yin. 2025-04-16. Diffeomorphism in Closed String Field Theory. https://arxiv.org/abs/2504.12290

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