BPS Branes in Supergravity
arXiv:hep-th/9803116
Abstract
This review considers the properties of classical solutions to supergravity theories with partially unbroken supersymmetry. These solutions saturate Bogomol'ny-Prasad-Sommerfield bounds on their energy densities and are the carriers of the -form charges that appear in the supersymmetry algebra. The simplest such solutions have the character of -dimensional Poincaré-invariant hyperplanes in spacetime, i.e. -branes. Topics covered include the relations between mass densities, charge densities and the preservation of unbroken supersymmetry; interpolating-soliton structure; diagonal and vertical Kaluza-Klein reduction families; multiple-charge solutions and the four D=11 elements; duality-symmetry multiplets; charge quantisation; low-velocity scattering and the geometry of worldvolume supersymmetric -models; and the target-space geometry of BPS instanton solutions obtained by the dimensional reduction of static -branes.
99 pages, 7 figures, LaTeX, uses epsf.sty. Based on lectures given at the ICTP Summer School in 1996 and 1997. Misprints corrected and journal references added
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