https://doi.org/10.1140/epjc/s10052-017-4861-2
Regular Article - Theoretical Physics
Boundary effects in super-Yang–Mills theory
1
Department of Physics, National Institute of Technology, Srinagar, Kashmir, 190006, India
2
Irving K. Barber School of Arts and Sciences, University of British Columbia-Okanagan, Kelowna, BC, V1V 1V7, Canada
3
Department of Physics and Astronomy, University of Lethbridge, Alberta, T1K 3M4, Canada
4
Department of Electronics and Communication Engineering, University of Kashmir, Srinagar, Kashmir, 190006, India
5
Department of Metallurgical and Materials Engineering, National Institute of Technology, Srinagar, Kashmir, 190006, India
6
Department of Physics, International Islamic University, H-10 Sector, Islamabad, Pakistan
* e-mail: mirfaizalmir@gmail.com
Received:
9
September
2016
Accepted:
27
April
2017
Published online:
13
May
2017
In this paper, we shall analyze a three dimensional supersymmetry theory with 
supersymmetry. We will analyze the quantization of this theory, in the presence of a boundary. The effective Lagrangian used in the path integral quantization of this theory, will be given by the sum of the gauge fixing term and the ghost term with the original classical Lagrangian. Even though the supersymmetry of this effective Lagrangian will also be broken due to the presence of a boundary, it will be demonstrated that half of the supersymmetry of this theory can be preserved 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 analyze the Slavnov–Taylor identity for this Yang–Mills theory with a boundary.
© The Author(s), 2017
