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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20 pages, 1 figure; typos corrected, section 3.1 expanded

Scientific paper

10.1007/JHEP02(2011)054

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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