Quantizing Strings in 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

Qft, String Temperature and the String Phase of De Sitter Space Time M. Ramon Medrano

The density of mass levels ρ(m) and the critical temperature for strings in de Sitter space-time are found. QFT and string theory in de Sitter space are compared. A “Dual”transform is introduced which relates classical to quantum string lengths, and more generally, QFT and string domains. Interestingly, the string temperature in De Sitter space turns out to be the -Dual transform of the QFT-Haw...

Qft, String Temperature and the String Phase of De Sitter Space Time

The density of mass levels ρ(m) and the critical temperature for strings in de Sitter space-time are found. QFT and string theory in de Sitter space are compared. A “Dual”transform is introduced which relates classical to quantum string lengths, and more generally, QFT and string domains. Interestingly, the string temperature in De Sitter space turns out to be the -Dual transform of the QFT-Haw...