BPS states of D=4 N=1 supersymmetry

Abstract

We find the combinations of momentum and domain-wall charges corresponding to BPS states preserving 1/4, 1/2 or 3/4 of D=4 N=1 supersymmetry, and we show how the supersymmetry algebra implies their stability. These states form the boundary of the convex cone associated with the Jordan algebra of $4\times 4$ real symmetric matrices, and we explore some implications of the associated geometry. For the Wess-Zumino model we derive the conditions for preservation of 1/4 supersymmetry when one of two parallel domain-walls is rotated and in addition show that this model does not admit any classical configurations with 3/4 supersymmetry. Our analysis also provides information about BPS states of N=1 D=4 anti-de Sitter supersymmetry.

Latex, 27 pages. Various corrections and improvements including an expanded discussion on BPS states in adS

References in corpus (10)

• A Bogomol`nyi equation for intersecting domain walls
• Superparticle Models with Tensorial Central Charges
• More on the Tensorial Central Charges in N=1 Supersymmetric Gauge Theories (BPS Wall Junctions and Strings)
• Tiling with almost-BPS states
• OSp supergroup manifolds, superparticles and supertwistors
• Brane Rotating Symmetries and the Fivebrane Equations of Motion
• Calculating the tension of domain wall junctions and vortices in generalized Wess-Zumino models
• Duality and Strings, Space and Time
• The Jordan formulation of Quantum Mechanics: a review
• BPS States in 10+2 Dimensions

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