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De Sitter's Dual: Finite Fuzzy Fermionic Fock Space
Mathematical Physics| Speaker: | Maulik Parikh, Columbia |
| Location: | 416 PhysGeo |
| Start time: | Thu, Dec 16 2004, 2:00PM |
Description
In one formulation of the holographic principle, the dual to de Sitter
space should only have a finite number of states. But the noncompactness
of the de Sitter group forbids the existence of finite-dimensional unitary
representations. I show that, for an intriguing time-unorientable variant
of de Sitter space called elliptic de Sitter space, it is nevertheless
possible to construct an S-matrix that is finite-dimensional, de
Sitter-invariant, and unitary. The holographic dual of de Sitter space can
be written in terms of spinor fields living on a boundary sphere which is,
in some sense, fuzzy.