Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-11-04
Int.J.Mod.Phys. A19 (2004) 4985-5002
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, 1 figure, JHEP style
Scientific paper
10.1142/S0217751X0401821X
We discuss analytic continuation from d-dimensional Lorentzian de Sitter (dS$_d$) to d-dimensional Lorentzian anti-de Sitter (AdS$_{d}$) spacetime. We show that AdS$_{d}$, with opposite signature of the metric, can be obtained as analytic continuation of a portion of dS$_d$. This implies that the dynamics of (positive square-mass) scalar particles in AdS$_{d}$ can be obtained from the dynamics of tachyons in dS$_d$. We discuss this correspondence both at the level of the solution of the field equations and of the Green functions. The AdS/CFT duality is obtained as analytic continuation of the dS/CFT duality.
Cadoni Mariano
Carta Paolo
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