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April 2008 The Topological G2 String
Asad Naqvi, Assaf Shomer, Jan de Boer
Adv. Theor. Math. Phys. 12(2): 243-318 (April 2008).


We construct new topological theories related to sigma models whose target space is a seven-dimensional manifold of G2 holonomy. We define a new type of topological twist and identify the BRST operator and the physical states. Unlike the more familiar six-dimensional case, our topological model is defined in terms of conformal blocks and not in terms of local operators of the original theory. We also present evidence that one can extend this definition to all genera and construct a seven-dimensional topological string theory. We compute genus zero correlation functions and relate these to Hitchin’s functional for three-forms in seven dimensions. Along the way we develop the analogue of special geometry for G2 manifolds. When the seven-dimensional topological twist is applied to the product of a Calabi–Yau manifold and a circle, the result is an interesting combination of the six-dimensional A and B models.


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Asad Naqvi. Assaf Shomer. Jan de Boer. "The Topological G2 String." Adv. Theor. Math. Phys. 12 (2) 243 - 318, April 2008.


Published: April 2008
First available in Project Euclid: 6 May 2008

zbMATH: 1144.81502
MathSciNet: MR2399312

Rights: Copyright © 2008 International Press of Boston


Vol.12 • No. 2 • April 2008
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