On subregion action complexity in AdS3 and in the BTZ black hole
Roberto Auzzi, Stefano Baiguera, Andrea Legramandi, Giuseppe Nardelli, Pratim Roy, Nicolò Zenoni
Abstract
A bstract We analytically compute subsystem action complexity for a segment in the BTZ black hole background up to the finite term, and we find that it is equal to the sum of a linearly divergent term proportional to the size of the subregion and of a term proportional to the entanglement entropy. This elegant structure does not survive to more complicated geometries: in the case of a two segments subregion in AdS3, complexity has additional finite contributions. We give analytic results for the mutual action complexity of a two segments subregion.
Topics & Concepts
PhysicsBTZ black holeAction (physics)Term (time)Quantum entanglementBlack hole (networking)Quantum mechanicsTheoretical physicsEffective actionFinite setComputational complexity theoryMathematical physicsBlack Holes and Theoretical PhysicsHomotopy and Cohomology in Algebraic TopologyNoncommutative and Quantum Gravity Theories