Scattering in Anti-de Sitter Space and Operator Product Expansion

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...

‎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...

Cohomogeneity One Anti De Sitter Space H_1^3

Resolvents, Poisson Operators and Scattering Matrices on Asymptotically Hyperbolic and De Sitter Spaces

We describe how the global operator induced on the boundary of an asymptotically Minkowski space links two even asymptotically hyperbolic spaces and an even asymptotically de Sitter space, and compute the scattering operator of the linked problem in terms of the scattering operator of the constituent pieces.

Spinor Exchange in AdSd+1

We study the Witten diagram with general spinor field exchange on the (d + 1)dimensional Euclidean Anti-de Sitter Space, which is necessary to calculate four-point correlation functions with spinor fields when we make use of the AdS/CFT correspondence, especially, in supersymmetric cases. We show that the amplitude can be expressed by that with scalar field exchange, which have been previously ...