BPS Equations and the Stress Tensor

Abstract

We exploit the relationship between the space components of the energy-momentum tensor and the supercurrent to discuss the connection between the BPS equations and the vanishing of the components of the stress tensor in various supersymmetric theories with solitons. Using the fact that certain combination of supercharges annihilate BPS states, we show that $T_{ij}=0$ for kinks, vortices and dyons, displaying the connection between supersymmetry and non-interacting BPS solitons.

13 pages, LaTex

References in corpus (4)

• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• D-term cosmic strings from N=2 Supergravity
• Scaling Identities for Solitons beyond Derrick's Theorem
• The energy and stability of D-term strings

Cited by in corpus (3)

• First Order Formalism for Generalized Vortices
• Deformation Constraints on Solitons and D-branes
• BPS Vortices, $Q$-balls, and $Q$-vortices in $\mathcal{N}=6$} Chern-Simons Matter Theory