Tall tales from de Sitter space II: Field theory dualities

De Sitter Space in Supergravity and M Theory

Two ways in which de Sitter space can arise in supergravity theories are discussed. In the first, it arises as a solution of a conventional supergravity, in which case it necessarily has no Killing spinors. For example, de Sitter space can arise as a solution of N = 8 gauged supergravities in four or five dimensions. These lift to solutions of 11-dimensional supergravity or D = 10 IIB supergrav...

Generalized Ads/cft Dualities and Space-time Symmetries of M/superstring Theory

I review the relationship between AdS/CFT ( anti-de Sitter / conformal field theory) dualities and the general theory of unitary lowest weight (ULWR) (positive energy) representations of non-compact space-time groups and supergroups. The ULWR’s have the remarkable property that they can be constructed by tensoring some fundamental ULWR’s ( singletons or doubletons). Furthermore, one can go from...

Large N field theories from Superstrings 1

These are introductory lectures on the correspondence between SU(N) gauge theories and Superstring Theory in anti-de Sitter geometries (AdS). The subject combines a number of different topics, including supersymmetric field theory, classical and quantum physics of black holes, string theory, string dualities, conformal field theories (CFT), and quantum field theory in anti-de Sitter spaces. We ...

Cohomogeneity One Anti De Sitter Space H_1^3

‎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...