A general construction of conformal field theories from scalar anti-de Sitter quantum field theories

摘要: We provide a new general setting for scalar interacting fields on the covering of ( d+1 )-dimensional AdS spacetime. The formalism is used at first to construct one-parameter family field theories, each living corresponding spacetime submanifold AdS, which cylinder R×Sd−1 . then introduce limiting procedure directly produces Luscher–Mack CFT's asymptotic cone. Our generalized → CFT construction nonperturbative, and illustrated by complete treatment two-point functions, case Klein–Gordon appearing as particularly simple in our context. We also show how Minkowskian representation these boundary can be generated an alternative involving theories horocyclic sections (nowadays called d− 1)-branes, 3-branes AdS5 ). These are restrictions brane ambient theory considered. This provides more correspondence between Poincare invariant QFT brane, satisfying all Wightman axioms. functions again studied detail from this viewpoint well limit boundary.