Light-cone formulation of conformal field theory adapted to AdS/CFT correspondence

TL;DR

This paper develops a light-cone formulation for conformal field theory in arbitrary dimensions, linking it to AdS/CFT correspondence by analyzing fields with arbitrary spin and conformal dimensions, and illustrating the approach with two-point functions.

Contribution

It introduces a light-cone formalism for conformal fields of arbitrary spin and dimension, connecting conformal algebra generators to AdS space dynamics within the AdS/CFT framework.

Findings

Representation of conformal algebra generators in light-cone gauge

Application to massive arbitrary spin AdS fields

Analysis of two-point functions in boundary CFT

Abstract

Light-cone formulation of conformal field theory in space-time of arbitrary dimension is developed. Conformal fundamental and shadow fields with arbitrary conformal dimension and arbitrary spin are studied. Representation of conformal algebra generators on space of conformal fundamental and shadow fields in terms of spin operators which enter in light-cone gauge formulation of field dynamics in AdS space is found. As an example of application of light-cone formalism we discuss AdS/CFT correspondence for massive arbitrary spin AdS fields and corresponding boundary CFT fields at the level of two point function.