Abstract
We construct a symplectic isomorphism h from classical Klein Gordon solutions of mass m on (d+1)-dimensional Lorentzian anti-de Sitter space (equipped with the usual symplectic form) to a certain symplectic space of functions on its conformal boundary (only) for all integer and half-integer Delta (=d/2+1/2(d(2)+4m(2))(1/2)). h induces a large family of new examples of Rehren's algebraic holography in which the net of local quantum Klein Gordon algebras in AdS is seen to map to a suitably defined net of local algebras for the (generalized free) scalar conformal field with anomalous dimension Delta on d-dimensional Minkowski space (the AdS boundary). Relatedly, we show for these models that Bertola et al.'s boundary-limit holography becomes a quantum duality (only) if the test functions for boundary Wightman distributions are restricted in a particular way.
| Original language | English |
|---|---|
| Article number | 121501 |
| Number of pages | 5 |
| Journal | Physical review d |
| Volume | 77 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 18 Jun 2008 |
Keywords
- FIELD-THEORIES