I.F.T.

Almuerzo-Seminario

(Lunch seminar)

April 12th 1999, 12:00 p.m.

Intertwining Operator Realization of the AdS/CFT Correspondence

Vladimir Dobrev

Arnold Sommerfeld Institute for Theoretical Physics, T.U. Clausthal

We give a group-theoretic interpretation of the AdS/CFT correspondence as relation of representation equivalence between representations of the conformal group describing the bulk AdS fields, their boundary fields and the coupled to the latter boundary conformal operators. We use two kinds of equivalences. The first kind is equivalence between the representations describing the bulk fields and the boundary fields and it is established here. The second kind is the equivalence between conjugated conformal representations related by Weyl reflections. Operators realizing the first kind of equivalence for special cases were actually given by Witten and others - here they are constructed in a more general setting from the requirement that they are intertwining operators. The intertwining operators realizing the second kind of equivalence are provided by the standard conformal two-point functions.

The almuerzo-seminario is intended to be an informal seminar and an open forum for discussion.

You are wellcome to bring your own bocata (sandwich), or coffee or tea.

Where: Modulo C-XVI, 3rd floor, Facultad de Ciencias U.A.M., C.U. Cantoblanco, 28049-Madrid