An asymptotic slope of the {\alpha}-K-energy for the Kahler-Yang-Mills equations

TL;DR

This paper derives a formula for the asymptotic slope of the { extalpha}-K-energy in the context of Kahler-Yang-Mills equations on holomorphic vector bundles over compact K"ahler manifolds.

Contribution

It provides a new explicit formula for the asymptotic slope of the { extalpha}-K-energy, advancing understanding of stability in Kahler-Yang-Mills theory.

Findings

Established a formula for the asymptotic slope of the { extalpha}-K-energy.

Connected the slope to stability conditions in Kahler-Yang-Mills theory.

Enhanced analytical tools for studying holomorphic vector bundles.

Abstract

For holomorphic vector bundles over compact K\"ahler manifolds, we establish a formula for the asymptotic slope of the {\alpha}-K-energy associated with the Kahler-Yang-Mills equations.