Holographic Complexity

Understand

For a field theory with a gravitational dual, following Susskind's proposal we define holographic complexity for a subsystem.

• The holographic complexity is proportional to the volume of a co-dimension one time slice in the bulk geometry enclosed by the extremal co-dimension two hyper-surface appearing in the computation of the holographic entanglement entropy.
• The proportionally constant, up to a numerical order of one factor is G R where G is the Newton constant and R is the curvature of the space time.
• We study this quantity in certain holographic model.