Deformed Hermitian-Yang-Mills equation on the manifold of full flags

Benoit Charbonneau; Gonçalo Oliveira; Rosa Sena-Dias

Deformed Hermitian-Yang-Mills equation on the manifold of full flags

Differential Geometry 2026-07-09 v1

Authors: Benoit Charbonneau , Gonçalo Oliveira , Rosa Sena-Dias

Abstract

We construct the first example of a higher rank, irreducible deformed Hermitian-Yang-Mills (dHYM) connection in the small radius regime. We also construct these in the large radius regime on infinitely many different bundles and make some contributions to the rank one equation as well. In particular, we investigate solutions away from the supercritical regime, showing the existence of solutions with any possible angle, and rule out some possible stability conditions.

Keywords

deformed Hermitian-Yang-Mills equation full flag manifold higher rank connection small radius regime stability conditions

Cite

@article{arxiv.2607.08622,
  title  = {Deformed Hermitian-Yang-Mills equation on the manifold of full flags},
  author = {Benoit Charbonneau and Gonçalo Oliveira and Rosa Sena-Dias},
  journal= {arXiv preprint arXiv:2607.08622},
  year   = {2026}
}

Comments

48 pages, 8 figures