Topological G2 and Spin(7) strings at 1-loop from double complexes
Peer reviewed, Journal article
Published version
Date
2022Metadata
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Original version
Ashmore, A., Coimbra, A., Strickland-Constable, C., Svanes, E. E., & Tennyson, D. (2022). Topological G2 and Spin (7) strings at 1-loop from double complexes. Journal of High Energy Physics, 2022(2), 1-77. 10.1007/JHEP02(2022)089Abstract
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.