Quantum action for heterotic string field theory with quantum L-infinity structure

@misc{gen2026quantum,
  title = {{Quantum action for heterotic string field theory with quantum L-infinity structure}},
  author = {Yasu Gen and Hiroshi Kunitomo and Jojiro Totsuka},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.07635},
  eprint = {2611.07635},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.07635},
}

TY  - UNPB
TI  - Quantum action for heterotic string field theory with quantum L-infinity structure
AU  - Yasu Gen
AU  - Hiroshi Kunitomo
AU  - Jojiro Totsuka
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.07635
UR  - https://arxiv.org/abs/2611.07635
AB  - We construct a quantum action for heterotic string field theory that satisfies the quantum Batalin-Vilkovisky equation. Assuming a triangulation of the bosonic moduli space, the prescription for inserting picture-changing operators is determined based on a quantum L-infinity structure. After concretely constructing some of the lower-order interactions, we propose a general prescription, which generalizes that for constructing the classical interactions governed by a classical L-infinity structure. Assuming it does not suffer from spurious poles, all quantum interactions are determined by iteratively solving differential equations and transforming the solutions via IBL-infinity-transfer. To demonstrate the consistency of our prescription, we compute the one-loop two-point functions (modulo the spurious pole issue) and show that they agree with those in the first-quantized formulation.
ER  -