Six-dimensional Methods for Four-dimensional Conformal Field Theories

Understand

The calculation of both spinor and tensor Green's functions in four-dimensional conformally invariant field theories can be greatly simplified by six-dimensional methods.

• For this purpose, four-dimensional fields are constructed as projections of fields on the hypercone in six-dimensional projective space, satisfying certain transversality conditions.
• In this way some Green's functions in conformal field theories are shown to have structures more general than those commonly found by use of the inversion operator.
• These methods fit in well with the assumption of AdS/CFT duality.