AdS₃ Boundary Structure

Poincaré coordinates — geodesics — conformal boundary — holography

AdS₃ Poincaré:
ds² = L²(dt²+dx²+dz²)/z²
Boundary at z→0, horizon z→∞

Geodesics:
Constant-t slices: semicircles anchored at boundary. Length = 2L log(|x₁−x₀|/ε)

Holography:
CFT₂ lives on boundary z=ε. Bulk fields ↔ CFT operators via GKPW formula.

Conformal symmetry:
Isometries of AdS₃ = SO(2,2) = SL(2,R)×SL(2,R) = Conformal group in 2D.