Topological G 2 and Spin(7) strings at 1-loop from double complexes

Anthony Ashmore, André Coimbra, Charles Strickland-Constable, Eirik Eik Svanes, David Tennyson

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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 prediction for the Spin(7) string. We also comment on connections with topological strings on Calabi-Yau and K3 backgrounds.
Original languageEnglish
Article number89
Number of pages77
JournalJournal of High Energy Physics (JHEP)
Issue number2
Early online date11 Feb 2022
Publication statusE-pub ahead of print - 11 Feb 2022


  • Regular Article - Theoretical Physics
  • Differential and Algebraic Geometry
  • Flux Compactifications
  • Topological Strings
  • Superstring Vacua


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