Holographic and QFT Complexity with angular momentum

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We study the influence of angular momentum on quantum complexity for CFT states holographically dual to rotating black holes.

• Using the holographic complexity=action (CA) and complexity=volume (CV) proposals, we study the full time dependence of complexity and the complexity of formation for two dimensional states dual to rotating BTZ.
• The obtained results and their dependence on angular momentum turn out to be analogous to those of charged states dual to Reissner-Nordstr\"om AdS black holes.
• For CA, our computation carefully accounts for the counterterm in the gravity action, which was not included in previous analysis in the literature.