English

Narasimhan--Ramanan branes and wobbly Higgs bundles

Algebraic Geometry 2024-09-11 v2

Abstract

Narasimhan--Ramanan branes were introduced by the authors in a previous article. They consist of a family of BBBBBB-branes inside the moduli space of Higgs bundles, and a family of complex Lagrangian subvarieties. It was conjectured that these complex Lagrangian subvarieties support the BAABAA-branes that are mirror dual to the Narasimhan--Ramanan BBBBBB-branes. In this article we show that the support of these branes intersects non-trivially the locus of wobbly Higgs bundles.

Keywords

Cite

@article{arxiv.2302.02736,
  title  = {Narasimhan--Ramanan branes and wobbly Higgs bundles},
  author = {Emilio Franco and Peter B. Gothen and André G. Oliveira and Ana Peón-Nieto},
  journal= {arXiv preprint arXiv:2302.02736},
  year   = {2024}
}

Comments

20 pages, minor corrections