Towards A Topological G_2 String

Details Towards A Topological G_2 String Towards A Topological G_2 String

2005-02-15

arxiv.org/abs/hep-th/0502140v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, To appear in the proceedings of Cargese 2004 summer school

Scientific paper

We define new topological theories related to sigma models whose target space is a 7 dimensional manifold of G_2 holonomy. We show how to define the topological twist and identify the BRST operator and the physical states. Correlation functions at genus zero are computed and related to Hitchin's topological action for three-forms. We conjecture that one can extend this definition to all genus and construct a seven-dimensional topological string theory. In contrast to the four-dimensional case, it does not seem to compute terms in the low-energy effective action in three dimensions.

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