Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-09-03
Phys.Rev. D61 (2000) 085001
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, 2 figures, 1 reference added, typos corrected, Sec. 9.3 expanded. Final version accepted for publication in Phys.Rev
Scientific paper
10.1103/PhysRevD.61.085001
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.
Gorsky Alexander
Shifman Michael
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