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arxiv: 1009.0526 · v2 · pith:WX7QRX5Snew · submitted 2010-09-02 · ✦ hep-th

Hermitian Yang-Mills instantons on resolutions of Calabi-Yau cones

classification ✦ hep-th
keywords instantonscalabi-yauconesconstructionhermitianresolutionsyang-millsarbitrary
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We study the construction of Hermitian Yang-Mills instantons over resolutions of Calabi-Yau cones of arbitrary dimension. In particular, in d complex dimensions, we present an infinite family, parametrised by an integer k and a continuous modulus, of SU(d) instantons. A detailed study of their properties, including the computation of the instanton numbers is provided. We also explain how they can be used in the construction of heterotic non-Kahler compactifications.

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