Topological G2 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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Abstract

We study the topological G 2 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 G 2 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
JournalJournal of High Energy Physics (JHEP)
Volume2022
Issue number2
DOIs
Publication statusPublished - 11 Feb 2022

Keywords

  • Differential and Algebraic Geometry
  • Flux Compactifications
  • Superstring Vacua
  • Topological Strings

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