Instantons and mirror K3 surfaces
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The instanton moduli space of a real 4-dimensional torus is an 8-dimensional Calabi-Yau manifold. Associated to this Calabi-Yau manifold are two (singular) K3 surfaces, one a quotient, the other a submanifold of the moduli space; both carry a natural Calabi-Yau metric. They are curiously related in much the same way as special examples of complex 3-dimensional mirror manifolds; however, in our case the “mirror” is present in the form of instanton moduli.
KeywordsNeural Network Manifold Statistical Physic Complex System Nonlinear Dynamics
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