English

Anti-selfdual Connections On The Quantum Projective Plane: Instantons

Quantum Algebra 2014-10-13 v2 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

We study one-instantons, that is anti-selfdual connections with instanton number 1, on the quantum projective plane with orientation which is reversed with respect to the usual one. The orientation is fixed by a suitable choice of a basis element for the rank 1 free bimodule of top forms. The noncommutative family of solutions is foliated, each non-singular leaves being isomorphic to the quantum projective plane itself.

Keywords

Cite

@article{arxiv.1305.1246,
  title  = {Anti-selfdual Connections On The Quantum Projective Plane: Instantons},
  author = {Francesco D'Andrea and Giovanni Landi},
  journal= {arXiv preprint arXiv:1305.1246},
  year   = {2014}
}

Comments

35 pages, no figures; v2: minor changes