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

doi:10.1007/jhep02(2022)089

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

Research output: Contribution to journal › Article › peer-review

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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.

Original language	English
Article number	89
Number of pages	77
Journal	Journal of High Energy Physics (JHEP)
Volume	2022
Issue number	2
Early online date	11 Feb 2022
DOIs	https://doi.org/10.1007/jhep02(2022)089
Publication status	E-pub ahead of print - 11 Feb 2022

Keywords

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

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© 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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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.",

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AU - Svanes, Eirik Eik

AU - Tennyson, David

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KW - Differential and Algebraic Geometry

KW - Flux Compactifications

KW - Topological Strings

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JF - Journal of High Energy Physics (JHEP)

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ER -

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

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