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arXiv · hep-th/0109164

Non-perturbative Gauge Groups and Local Mirror Symmetry

H. Skarke
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Abstract

We analyze D-brane states and their central charges on the resolution of C^2/Z_n by using local mirror symmetry. There is a point in the moduli space where all n(n-1)/2 branches of the principal component of the discriminant locus coincide. We argue that this is the point where compactifications of Type IIA theory on a K3 manifold containing such a local geometry acquire a non-perturbative gauge symmetry of the type A_{n-1}. This analysis, which involves an explicit solution of the GKZ system of the local geometry, explains how the quantum geometry exhibits all positive roots of A_{n-1} and not just the simple roots that manifest themselves as the exceptional curves of the classical geometry. We also make some remarks related to McKay correspondence.

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H. Skarke. 2001-09-20. Non-perturbative Gauge Groups and Local Mirror Symmetry. https://doi.org/10.1088/1126-6708%2F2001%2F11%2F013

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