More on the Tensorial Central Charges in N=1 Supersymmetric Gauge Theories (BPS Wall Junctions and Strings)

Abstract

We study the central extensions of the N=1 superalgebras relevant to the soliton solutions with the axial geometry - strings, wall junctions, etc. A general expression valid in any four-dimensional gauge theory is obtained. We prove that the only gauge theory admitting BPS strings at weak coupling is supersymmetric electrodynamics with the Fayet-Iliopoulos term. The problem of ambiguity of the (1/2,1/2) central charge in the generalized Wess-Zumino models and gauge theories with matter is addressed and solved. A possibility of existence of the BPS strings at strong coupling in N=2 theories is discussed. A representation of different strings within the brane picture is presented.

26 pages, 2 figures, 1 reference added, typos corrected, Sec. 9.3 expanded. Final version accepted for publication in Phys.Rev.D

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• A Bogomol`nyi equation for intersecting domain walls
• Domain Wall Junctions are 1/4-BPS States
• Vortices on the Higgs Branch of the Seiberg-Witten Theory
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