# Hermitian Yang–Mills equations and pseudo-holomorphic bundles on nearly Kähler and nearly Calabi–Yau twistor 6-manifolds

@article{Popov2010HermitianYE, title={Hermitian Yang–Mills equations and pseudo-holomorphic bundles on nearly K{\"a}hler and nearly Calabi–Yau twistor 6-manifolds}, author={Alexander D. Popov}, journal={Nuclear Physics}, year={2010}, volume={828}, pages={594-624} }

## 27 Citations

### Double quiver gauge theory and nearly Kähler flux compactifications

- Mathematics
- 2012

A bstractWe consider G-equivariant dimensional reduction of Yang-Mills theory with torsion on manifolds of the form M × G/H where M is a smooth manifold, and G/H is a compact six-dimensional…

### A twistor space action for Yang-Mills theory

- MathematicsPhysical Review D
- 2021

We consider the twistor space P ∼= R×CP 1 of R with a non-integrable almost complex structure J such that the canonical bundle of the almost complex manifold (P,J ) is trivial. It is shown that J…

### Yang-Mills fields in flux compactifications on homogeneous manifolds with SU(4)-structure

- Mathematics
- 2012

A bstractThe Spin(7)-instanton equations are natural BPS equations for instantons on 8-manifolds. We study these equations on nearly Kähler and Calabi-Yau torsion manifolds of the form M × G/H, with…

### Finite-action solutions of Yang-Mills equations on de Sitter dS4 and anti-de Sitter AdS4 spaces

- Mathematics
- 2017

A bstractWe consider pure SU(2) Yang-Mills theory on four-dimensional de Sitter dS4 and anti-de Sitter AdS4 spaces and construct various solutions to the Yang-Mills equations. On de Sitter space we…

### Sasakian quiver gauge theories and instantons on cones over round and squashed seven-spheres

- MathematicsNuclear Physics B
- 2019

### Deformations of Nearly Kähler Instantons

- Mathematics
- 2016

We formulate the deformation theory for instantons on nearly Kähler six-manifolds using spinors and Dirac operators. Using this framework we identify the space of deformations of an irreducible…

### Six-Dimensional Superconformal Field Theories from Principal 3-Bundles over Twistor Space

- Mathematics
- 2014

We construct manifestly superconformal field theories in six dimensions which contain a non-Abelian tensor multiplet. In particular, we show how principal 3-bundles over a suitable twistor space…

### Gravity and induced matter on nearly Kähler manifolds

- Mathematics, Physics
- 2015

We show that the conservation of energy–momentum tensor of a gravitational model with Einstein–Hilbert like action on a nearly Kahler manifold with the scalar curvature of a curvature-like tensor, is…

### Connections on a non-symmetric (generalized) Riemannian manifold and gravity

- Mathematics
- 2016

Connections with (skew-symmetric) torsion on a non-symmetric Riemannian manifold satisfying the Einstein metricity condition (non-symmetric gravitation theory (NGT) with torsion) are considered. It…

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