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Published December 2, 1999 | Submitted + Published
Journal Article Open

Branes and supersymmetry breaking in 3D gauge theories

Abstract

It is shown that supersymmetry is spontaneously broken in certain three-dimensional supersymmetric gauge theories, by using the s-rule in their string theory realization as brane configurations. In particular, supersymmetry is broken in N = 3 supersymmetric Yang-Mills-Chern-Simons theory with gauge group SU(n) and CS coefficient k, as well as in its N = 2 and N = 1 deformations, when n > |k|. In addition, supersymmetry is broken in the N = 1 mass deformation of N = 2 supersymmetric Yang-Mills theory with gauge group SU(n) and one matter multiplet when n > 1. In the latter case the breaking is induced by an instanton-generated repulsive potential.

Additional Information

© 1999 IOP Publishing. Received: August 25, 1999, Accepted: October 26, 1999. Published 10 November 1999. We would like to thank Mina Aganagic, Ofer Aharony, Anton Kapustin, and Shimon Yankielowicz for useful conversations. A.H. and B.K. thank the organizers of the Jerusalem workshop and the organizers of the SUSY99 program at the ITP in Santa Barbara for hospitality during different stages of this work. O.B. is supported in part by the DOE under grant no. DE-FG03-92-ER40701. A.H. and A.K. are supported in part by the DOE under grant no. DE-FC02-94ER40818. A.H. is supported in part by an A.P. Sloan Foundation Fellowship and by a DOE OJI award. This research was supported in part by the National Science Foundation under Grant no. PHY94-07194.

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