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Abstract: We consider the quantization of the effective target space description oftopological M-theory in terms of the Hitchin functional whose critical pointsdescribe seven-manifolds with G2 structure. The one-loop partition function forthis theory is calculated and an extended version of it, that is related togeneralized G2 geometry, is compared with the topological G2 string. We relatethe reduction of the effective action for the extended G2 theory to the Hitchinfunctional description of the topological string in six dimensions. Thedependence of the partition functions on the choice of background G2 metric isalso determined.

Autor: Jan de Boer, Paul de Medeiros, Sheer El-Showk, Annamaria Sinkovics

Fuente: https://arxiv.org/

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