English

Boundary Effects in Super-Yang-Mills Theory

High Energy Physics - Theory 2017-09-04 v1

Abstract

In this paper, we shall analyse a three dimensional supersymmetry theory with N=2\mathcal{N} = 2. The effective Lagrangian will be given by the sum of the gauge fixing term and the ghost term with the original classical Lagrangian. In presence of a boundary the supersymmetry of this Lagrangian will be broken. However, it will be possible to preserve half the supersymmetry even in presence of a boundary. This will be done by adding a boundary Lagrangian to the effective bulk Lagrangian. The supersymmetric transformation of this new boundary Lagrangian will exactly cancel the boundary term generated from the supersymmetric transformation of the effective bulk Lagrangian. We will obtain the Slavnov-Taylor Identity for this theory.

Keywords

Cite

@article{arxiv.1709.00107,
  title  = {Boundary Effects in Super-Yang-Mills Theory},
  author = {Mushtaq B Shah and Mir Faizal and Prince A Ganai and Zaid Zaz and Anha Bhat and Syed Masood},
  journal= {arXiv preprint arXiv:1709.00107},
  year   = {2017}
}

Comments

16 pages, Accepted in EPJC

R2 v1 2026-06-22T21:29:49.681Z