Quantizing field theories in noncommutative geometry and the correspondence between anti de Sitter space and conformal field theory

Abstract

By using the approach of non-commutative geometry, we study spinors and scalars on the two layers AdS${}_{d+1}$ space. We have found that in the boundary of two layers AdS${}_{d+1}$ space, by using the AdS/CFT correspondence, we have a logarithmic conformal field theory. This observation propose a way to get the quantum field theory in the context of non-commutative geometry.

some minor typographical errors are corrected, to appear in Phys. Lett. B

References in corpus (7)

• Gauge Theory Correlators from Non-Critical String Theory
• Spinors and the AdS/CFT correspondence
• Conformal Field Theory Correlators from Classical Scalar Field Theory on $Ad{S}_{d+1}$
• Logarithmic conformal field theories and AdS correspondence
• Interacting Spinors-Scalars and AdS/CFT Correspondence
• Remarks on Alain Connes' approach to the standard model
• Logarithmic conformal field theories with continuous weights

Cited by in corpus (6)

• Bits and Pieces in Logarithmic Conformal Field Theory
• Operator Product Expansion in Logarithmic Conformal Field Theory
• Intertwining Operator Realization of anti de Sitter Holography
• Disordered Systems and Logarithmic Conformal Field Theory
• Legendre's Relation and the Quantum Equivalence osp(4|4)_(1) = osp(2|2)_(-2) + su(2)_(0)
• The O(n) Model in the $n\to 0$ Limit (self-avoiding-walks) and Logarithmic Conformal Field Theory