PVC Correspondence for Generalized Complexity

• Monireh Emami (School of Particles and Accelerators - IPM)

The momentum/volume/complexity (PVC) correspondence expresses the growth rate of holographic complexity as a boundary integral tied to bulk infalling momentum. We extend this correspondence to the 'complexity=anything' (CAny) framework, for both codimension-one and codimension-zero observables. A tensorial generalization via the Codazzi equation further reveals a purely gravitational (Weyl) contribution to complexity growth. We verify these results in pp-wave and black hole examples, showing that the momentum/complexity relation persists well beyond the original volume proposal.