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arXiv · 1908.08268

Mukai duality on adiabatic coassociative fibrations

Yang Li
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Abstract

This paper studies the formal adiabatic limit of coassociative K3 fibred torsion free $G_2$ manifolds fibred over a contractible base, shows how to put this structure on a different fibration obtained by fibrewise performing Mukai duality of K3 surfaces, and furthermore relates the gauge theories on both fibrations by a Nahm transform. This gives a mathematical interpretation to the physical speculations of Gukov, Yau and Zaslow.

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Yang Li. 2019-08-22. Mukai duality on adiabatic coassociative fibrations. https://arxiv.org/abs/1908.08268

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