Two-point function of the energy-momentum tensor and generalised conformal structure

Understand

Theories with generalised conformal structure contain a dimensionful parameter, which appears as an overall multiplicative factor in the action.

• Examples of such theories are gauge theories coupled to massless scalars and fermions with Yukawa interactions and quartic couplings for the scalars in spacetime dimensions other than 4.
• Many properties of such theories are similar to that of conformal field theories (CFT), and in particular their 2-point functions take the same form as in CFT but with the normalisation constant now replaced by a function of the effective dimensionless coupling $g$ constructed from the dimensionful parameter and the distance separating the two operators.
• Such theories appear in holographic dualities involving non-conformal branes and this behaviour of the correlators has already been observed at strong coupling.