English

Monopoles in Superloop Space

High Energy Physics - Theory 2015-06-22 v1

Abstract

In this paper, we will analyse a four dimensional gauge theory with N=1\mathcal{N} =1 supersymmetry in superloop space formalism. We will thus obtain an expression for the connection in the infinite-dimensional superloop space. We will then use this connection to obtain an expression for the curvature of the infinite-dimensional superloop space. We will also show that this curvature is proportional to the Bianchi identity in spacetime. Thus, in absence of a monopole this curvature will vanish. However, it will not vanish if the superloop intersects the world-line of a monopole because the Bianchi will not hold at that point.

Keywords

Cite

@article{arxiv.1407.3119,
  title  = {Monopoles in Superloop Space},
  author = {Mir Faizal and Tsou Sheung Tsun},
  journal= {arXiv preprint arXiv:1407.3119},
  year   = {2015}
}

Comments

9 pages, 0 figures, accepted for publication in EPL

R2 v1 2026-06-22T05:01:49.601Z