1. holography complexity and thermodynamic volume

Robert Mann

University of Waterloo, Canada

11 November 2021 Thu 11 am

                                      IBS Center for Theoretical Physics of Complex Systems (PCS), Administrative Office (B349), Theory Wing, 3rd floor

                                      Expo-ro 55, Yuseong-gu, Daejeon, South Korea, 34126 Tel: +82-42-878-8633                     

I describe the first investigation of the holographic complexity conjectures for spinning black holes. Exploiting a simplification that  occurs for equal-spinning odd dimensional black holes, we uncover a relationship between the complexity of formation and the thermodynamic volume associated with the black hole. This result reduces to known expressions when the spin vanishes, and suggests  that  thermodynamic volume and entropy that governs the complexity of formation in both the Complexity Equals Volume and Complexity Equals Action proposals. Assuming the validity of a conjectured inequality for thermodynamic volume, our result suggests the complexity of formation is bounded from below by the entropy for large black holes.