de Sitter space and Holography

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This talk is based on the following papers1. M. Spradlin, A. Strominger and A. Volovich, hepth/0110007.2. Y. Kim, C.Y. Oh and N. Park, hep-th/0212326.3. D. Klemm and L. Vanzo, hep-th/0407255.4. J. D. Brown and W. York, Phys. Rev. D47 (1993) 1407.5. V. Balasubramanina, J. de Boer and D. Minic, hepth/0110108.6. M. Alishahiha, A. Karch, E. Silverestein and D. Tong,hep-th/0407125.7. M. Alishahiha, A. Karch and E. Silverestein. hepth/0504056.58
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de Sitter space and HolographyThird
Page 3:
1. Historical review and motivation
Page 7 and 8: 5. Technologies:There are a number
Page 9 and 10: Let us know study different coordin
Page 11 and 12: Conformal coordinates: T, θ i , i
Page 13 and 14: Planer (Inflationary) coordinates:
Page 15 and 16: The corresponding metric isdS 2 =
Page 17 and 18: It is easy to see thatX 0 + X d =
Page 20 and 21: 1.2 Causal structure (Penrose diagr
Page 22 and 23: IINorth PoleOSouth PoleNorth PoleOS
Page 24 and 25: The entire region of the dS space i
Page 26 and 27: For example• In static coordinate
Page 28 and 29: An observer moving along a timelike
Page 30 and 31: 3. dS/CFT correspondenceFrom what w
Page 32 and 33: In d dimensions the Einstein equati
Page 34 and 35: One can generalize it for a general
Page 36 and 37: • One can always decompose the me
Page 38 and 39: Consider the Brown-York stress tens
Page 40 and 41: Using the definition of Brown-York
Page 42 and 43: Using this diffeomorphism one may s
Page 44 and 45: lim dtdtr→∞∫I ′ dφdφ ′
Page 46 and 47: dS static patch (spatial)dg =0 g =1
Page 48 and 49: • Lower dimensional Plank mass is
Page 50 and 51: One can use AdS/CFT correspondence
Page 52 and 53: Under this conformal map one has:
Page 54 and 55: Conformal AnomalyAdS/CFT instructs
Page 56 and 57: • Naively one would think that gr
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