Does anomalous violation of null energy condition invalidate holographic c-theorem?

Understand

Null energy condition plays a crucial role in holographic renormalization group flow, leading to the holographic c-theorem.

• Unfortunately, the null energy condition is quantum mechanically violated.
• Even the averaged version can be violated.
• We discuss how the anomalous violation of the null energy condition affects the holographic renormalization group flow in 1+3 dimensional bulk gravity.