DHYM instantons on higher rank holomorphic vector bundles over ${\mathbb{P}}(T_{{\mathbb{P}^{2}}})$

Author:

Eder M. Correa

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Differential Geometry (math.DG)

journal:

date:

2023-07-10 16:00:00

Abstract

We construct the first explicit non-trivial example of deformed Hermitian Yang-Mills (dHYM) instanton on a higher rank slope-unstable holomorphic vector bundle over a Fano threefold. Additionally, we provide a sufficient algebraic condition in terms of central charges for the existence of dHYM instantons on Whitney sum of holomorphic line bundles over rational homogeneous varieties. As a consequence, we obtain several new examples of dHYM instantons on higher rank holomorphic vector bundles.

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