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G2 Hitchin functionals at one loop

de Boer, J., De Medeiros, Paul F., El-Showk, S. and Sinkovics, A. 2008. G2 Hitchin functionals at one loop. Classical and Quantum Gravity 25 (7) , 075006. 10.1088/0264-9381/25/7/075006

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We consider the quantization of the effective target space description of topological M-theory in terms of the Hitchin functional whose critical points describe seven manifolds with a G2 structure. The one-loop partition function for this theory is calculated and an extended version of it, that is related to the generalized G2 geometry, is compared with the topological G2 string. We relate the reduction of the effective action for the extended G2 theory to the Hitchin functional description of the topological string in six dimensions. The dependence of the partition functions on the choice of background G2 metric is also determined.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: IOP Science
ISSN: 0264-9381
Last Modified: 19 Mar 2016 23:07

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