de Sitter space and Holography

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The corresponding metric is given bydS 2 = −(1 − r2l 2 )dt2 + dr21 − r2l 2 + r 2 dΩ 2 d−2In this coordinate system•∂∂t <strong>and</strong>∂∂θ d−2are Killing vectors• Hamiltonian is well-<strong>de</strong>fined in the static coordinates butunitarity is threatened by the existence of the horizon atr = l . Note that in this coordinates 0 ≤ r < l.18
Page 1 and 2: 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: It is easy to see thatX 0 + X d =
Page 21 and 22: INorth PoleSouth PoleI1) North and
Page 23 and 24: Let us to arrive at Penrose diagram
Page 25 and 26: 1.3 Thermal propertyConsider a circ
Page 27 and 28: For any function f(P) one can seel
Page 29 and 30: Why dS is difficult?1) dS space is
Page 31 and 32: How to define conserved charges?The
Page 33 and 34: In general this action is divergent
Page 35 and 36: One may rewrite it as followsds 2 =
Page 37 and 38: The mass of an asymptotically dS sp
Page 39 and 40: Consider dS 3 space in the planar c
Page 41 and 42: A three dimensional diffeomorphism
Page 43 and 44: One can compute correlation functio
Page 45 and 46: 4. dS/dS correspondenceStatement of
Page 47 and 48: Let us consider pure gravity in d d
Page 49 and 50: In the RS construction one truncate
Page 51 and 52: g mn → f 2 g mnX → f −d−2 2
Page 53 and 54: That is we get a conformally couple
Page 55 and 56: Now let us repeat the same exercise
Page 57 and 58: Some comments on dS/dS corresponden

de Sitter space and Holography

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