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PreprintCC BY 4.0arXiv

The heterotic superpotential and the alpha' expansion

Abstract

We study the role of the Hull connection in the heterotic superpotential for N=1 d=4 vacua. The integrand is defined in terms of H, which is in turn defined in terms of a gravitational Chern--Simons coupling involving H. We show this recursive structure is key to W reproducing some of the ten--dimensional supersymmetry conditions written down by Bergshoeff--de Roo through α'^3. With this evidence in hand we make some observations about extending some of the tensor equations of Hull and Strominger to all orders in α'.

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BibTeX
@misc{mcorist2026heterotic,
  title = {{The heterotic superpotential and the alpha' expansion}},
  author = {Jock McOrist},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.36604},
  eprint = {2610.36604},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.36604},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - The heterotic superpotential and the alpha' expansion
AU  - Jock McOrist
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.36604
UR  - https://arxiv.org/abs/2610.36604
AB  - We study the role of the Hull connection in the heterotic superpotential for N=1 d=4 vacua. The integrand is defined in terms of H, which is in turn defined in terms of a gravitational Chern--Simons coupling involving H. We show this recursive structure is key to W reproducing some of the ten--dimensional supersymmetry conditions written down by Bergshoeff--de Roo through α'^3. With this evidence in hand we make some observations about extending some of the tensor equations of Hull and Strominger to all orders in α'.
ER  -