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arXiv · hep-th/9910054

Del Pezzo Surfaces and Affine 7-brane Backgrounds

Tamas Hauer·Amer Iqbal
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Abstract

A map between string junctions in the affine 7-brane backgrounds and vector bundles on del Pezzo surfaces is constructed using mirror symmetry. It is shown that the lattice of string junctions with support on an affine 7-brane configuration is isomorphic to the K-theory group of the corresponding del Pezzo surface. This isomorphism allows us to construct a map between the states of the N=2, D=4 theories with E_N global symmetry realized in two different ways in Type IIB and Type IIA string theory. A subgroup of the SL(2,Z) symmetry of the \hat{E}_9 7-brane background appears as the Fourier-Mukai transform acting on the D-brane configurations realizing vector bundles on elliptically fibered B_9.

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Tamas Hauer, Amer Iqbal. 2000-01-28. Del Pezzo Surfaces and Affine 7-brane Backgrounds. https://doi.org/10.1088/1126-6708%2F2000%2F01%2F043

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