16,946 research outputs found

    On polarized K3 surfaces of genus 33

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    We prove that the moduli space of smooth primitively polarized K3\mathrm{K3} surfaces of genus 33 is unirational.Comment: 12 pages; the text has been revised following the referee's suggestion

    Complex Lagrangian embeddings of moduli spaces of vector bundles

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    By means of a Fourier-Mukai transform we embed moduli spaces of stable bundles on an algebraic curve C as isotropic subvarieties of moduli spaces of mu-stable bundles on the Jacobian variety J(C). When g(C)=2 this provides new examples of special Lagrangian submanifolds.Comment: 9 pages, no figures, to appear in Diff. Geom. App

    F-Theory, T-Duality on K3 Surfaces and N=2 Supersymmetric Gauge Theories in Four Dimensions

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    We construct T-duality on K3 surfaces. The T-duality exchanges a 4-brane R-R charge and a 0-brane R-R charge. We study the action of the T-duality on the moduli space of 0-branes located at points of K3 and 4-branes wrapping it. We apply the construction to F-theory compactified on a Calabi-Yau 4-fold and study the duality of N=2 SU(N_c) gauge theories in four dimensions. We discuss the generalization to the N=1 duality scenario.Comment: 13 pages, late
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