Structural and Dynamical Aspects of the AdS/CFT Correspondence: a Rigorous Approach

Details Structural and Dynamical Aspects of the AdS/CFT Correspondence: a Rigorous Approach Structural and Dynamical Aspects of the AdS/CFT Correspondence: a Rigorous Approach

2007-12-03

arxiv.org/abs/0712.0401v3

Physics

Mathematical Physics

English translation (with corrections) of the author's Ph.D. thesis (University of S. Paulo, Brazil, September 2007), original

Scientific paper

We elaborate a detailed study of certain aspects of (a version of) the AdS/CFT correspondence, conjectured by Maldacena and Witten, between quantum field theories in a gravitational background given by an asymptotically anti-de Sitter (AAdS) spacetime, and conformally covariant quantum field theories in the latter's conformal infinity (in the sense of Penrose), aspects such that: (a) are independent from (the pair of) specific models in Quantum Field Theory, and (b) susceptible to a recast in a mathematically rigorous mould. We adopt as a starting point the theorem demonstrated by Rehren in the context of Local Quantum Physics (also known as Algebraic Quantum Field Theory) in anti-de Sitter (AdS) spacetimes, called algebraic holography or Rehren duality. The main body of the present work consists in extending Rehren's result to a reasonably general class of d-dimensional AAdS spacetimes (d>3), scrutinizing how the properties of such an extension are weakened and/or modified as compared to AdS spacetime, and probing how non-trivial gravitational effects manifest themselves in the conformal infinity's quantum theory. The language employed for the quantum theories relevant for our generalization of Rehren duality follows the functorial formulation of Local Quantum Physics due to Brunetti, Fredenhagen and Verch, extended afterwards by Sommer in order to incorporate boundary conditions.

Affiliated with

Also associated with

No associations

Rating

Structural and Dynamical Aspects of the AdS/CFT Correspondence: a Rigorous Approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Structural and Dynamical Aspects of the AdS/CFT Correspondence: a Rigorous Approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Structural and Dynamical Aspects of the AdS/CFT Correspondence: a Rigorous Approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-680727