More Holography from Conformal Field Theory

Abstract

We extend the work of [4] to support the conjecture that any conformal field theory with a large N expansion and a large gap in the spectrum of anomalous dimensions has a local bulk dual. We count to O(1/N^2) the solutions to the crossing constraints in conformal field theory for a completely general scalar four-point function and show that, to this order, the counting matches the number of independent interactions in a general scalar theory on Anti-de Sitter space. We introduce parity odd conformal blocks for this purpose.

19 pages

References in corpus (2)

• Holography from Conformal Field Theory
• Local bulk S-matrix elements and CFT singularities

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