Supersymmetries and BPS Configurations on Anti-de Sitter Space

‎Spacelike hypersurfaces with constant $S$ or $K$ in de Sitter‎ ‎space or anti-de Sitter space

‎Let $M^n$ be an $n(ngeq 3)$-dimensional complete connected and‎ ‎oriented spacelike hypersurface in a de Sitter space or an anti-de‎ ‎Sitter space‎, ‎$S$ and $K$ be the squared norm of the second‎ ‎fundamental form and Gauss-Kronecker curvature of $M^n$‎. ‎If $S$ or‎ ‎$K$ is constant‎, ‎nonzero and $M^n$ has two distinct principal‎ ‎curvatures one of which is simple‎, ‎we obtain some‎ ‎charact...

Super algebra and Harmonic Oscillator in Anti de Sitter space

The harmonic oscillator in anti de Sitter space(AdS) is discussed. We consider the harmonic oscillator potential and then time independent Schrodinger equation in AdS space. Then we apply the supersymmetric Quantum Mechanics approach to solve our differential equation. In this paper we have solved Schrodinger equation for harmonic oscillator in AdS spacetime by supersymmetry approach. The shape...

Cohomogeneity One Anti De Sitter Space H_1^3

Horizon Geometry , Duality and Fixed scalars in Six Dimensions ∗

We consider the problem of extremizing the tension for BPS strings in D = 6 supergravities with different number of supersymmetries. General formulae for fixed scalars and a discussion of degenerate directions is given. Quantized moduli, according to recent analysis, are supposed to be related to conformal field theories which are the boundary of three dimensional anti-de Sitter space time.

Intersecting Branes and Anti-de Sitter Spacetimes in SU(2)× SU(2) Gauged Supergravity

In this note we extend our work in a previous paper hep-th/9801038. We show here that various intersecting brane-like configurations can be found in the vacuum of D = 4, N = 4 supergravity with gauged R-symmetry group SU(2)×SU(2). These include intersections of domain-walls, strings and pointlike objects. Some of these intersecting configurations preserve 1/2 and 1/4 of supersymmetry. We observ...