University of Hertfordshire

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

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Original languageEnglish
Article number89
Number of pages77
JournalJournal of High Energy Physics
Volume2022
Issue2
Early online date11 Feb 2022
DOIs
Publication statusE-pub ahead of print - 11 Feb 2022

Abstract

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.

Notes

© The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), https://creativecommons.org/licenses/by/4.0/

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