Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-06-19
Phys.Rev.D56:7990-8013,1997; Erratum-ibid.D58:109901,1998
Physics
High Energy Physics
High Energy Physics - Theory
Several equations are corrected, the discussion of the two-dimensional soliton in Section 6 is modified, references are update
Scientific paper
10.1103/PhysRevD.56.7990
Domain-wall solutions in four-dimensional supersymmetric field theories with distinct discrete vacuum states lead to the spontaneous breaking of supersymmetry, either completely or partially. We consider in detail the case when the domain walls are the BPS-saturated states, and 1/2 of supersymmetry is preserved. Several useful criteria that relate the preservation of 1/2 of supersymmetry on the domain walls to the central extension appearing in the N=1 superalgebras are established. We explain how the central extension can appear in N=1 supersymmetry and explicitly obtain the central charge in various models: the generalized Wess-Zumino models, and supersymmetric Yang-Mills theories with or without matter. The BPS-saturated domain walls satisfy the first-order differential equations which we call the creek equations, since they formally coincide with the (complexified) equations of motion of an analog high-viscosity fluid on a profile which is given by the superpotential of the original problem. Some possible applications are considered.
Chibisov Boris
Shifman Michael
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