Topological G2 and Spin(7) strings at 1-loop from double complexes

@article{Ashmore2021TopologicalGA,
  title={Topological G2 and Spin(7) strings at 1-loop from double complexes},
  author={Anthony Ashmore and Andr{\'e} Coimbra and C. Strickland-constable and Eirik Eik Svanes and David Tennyson},
  journal={Journal of High Energy Physics},
  year={2021},
  volume={2022}
}
We study the topological G2 and Spin(7) strings at 1-loop. We define new double complexes for supersymmetric NSNS backgrounds of string theory using generalised geometry. The 1-loop partition function then has a target-space interpretation as a particular alternating product of determinants of Laplacians, which we have dubbed the analytic torsion. In the case without flux where these backgrounds have special holonomy, we reproduce the worldsheet calculation of the G2 string and give a new… 
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