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

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

1999-02-14

arxiv.org/abs/hep-th/9902104v2

Phys.Lett. B469 (1999) 81-86

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0370-2693(99)01275-7

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.

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