We introduce the twisted coupled vortex equations defined over a closed Kähler manifold X. There is an associated notion of stability for certain triples of holomorphic data on X. We establish a Hitchin-Kobayashi correspondence which relates the existence of solutions to these equations and the stability of a corresponding triple.
- Donaldson functional
- Hermitian Einstein equation
- Hitchin Kobayashi correspondence
- Twisted coupled vortex equations
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