Complexity vs. Vorticity

Understand

In the study of "holographic complexity", upper bounds on the rate of growth of the (specific) complexity of field theories with holographic duals have attracted much attention.

• Underlying these upper bounds there are inequalities relating the parameters of the dual black hole.
• We derive such an inequality in the case of the five-dimensional AdS-Kerr black hole, dual to a four-dimensional field theory with a non-zero angular momentum density.
• We propose to test these underlying inequalities "experimentally", by using the conjectured analogy of the field theory with phenomenological models of the Quark-Gluon Plasma.