Eur. Phys. J. C (2015) 75: 316
https://doi.org/10.1140/epjc/s10052-015-3538-y

Letter

Supersymmetric duality in superloop space

¹ Department of Physics and Astronomy, University of Waterloo, Waterloo, ON, N2L 3G1, Canada
² Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford, OX2 6GG, UK

^* e-mail: mirfaizalmir@gmail.com

Received: 3 April 2015
Accepted: 24 June 2015
Published online: 8 July 2015

Abstract

In this paper we constructed superloop space duality for a four dimensional supersymmetric Yang–Mills theory with supersymmetry. This duality reduces to the ordinary loop space duality for the ordinary Yang–Mills theory. It also reduces to the Hodge duality for an abelian gauge theory. Furthermore, the electric charges, which are the sources in the original theory, appear as monopoles in the dual theory. Whereas, the magnetic charges, which appear as monopoles in the original theory, become sources in the dual theory.