English

RETRACTED: Yang-Mills theory for bundle gerbes

High Energy Physics - Theory 2024-01-26 v4

Abstract

Given a bundle gerbe with connection on an oriented Riemannian manifold of dimension at least equal to 3, we formulate and study the associated Yang-Mills equations. When the Riemannian manifold is compact and oriented, we prove the existence of instanton solutions to the equations and also determine the moduli space of instantons, thus giving a complete analysis in this case. We also discuss duality in this context.

Keywords

Cite

@article{arxiv.hep-th/0509037,
  title  = {RETRACTED: Yang-Mills theory for bundle gerbes},
  author = {Varghese Mathai and David Roberts},
  journal= {arXiv preprint arXiv:hep-th/0509037},
  year   = {2024}
}

Comments

v4 This article contains an unfixable flaw in the definition of the gauge group action in section 2.2. On the authors' request the journal version has been retracted. v3 Latex2e, 7 pages, some typos corrected, to appear in J. Phys. A: Math. and Gen

R2 v1 2026-07-22T15:31:56.478Z