On Conformal Field Theories With Extremal a/c Values

Understand

Unitary conformal field theories (CFTs) are believed to have positive (non-negative) energy correlators.

• Energy correlators are universal observables in higher-dimensional CFTs built out of integrated Wightman functions of the stress-energy tensor.
• We analyze energy correlators in parity invariant four-dimensional CFTs.
• The goal is to use the positivity of energy correlators to further constrain unitary CFTs.