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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 1: Quantum Information and Complexity

MP 1.5: Vortrag

Montag, 19. März 2018, 17:55–18:15, Z6 - SR 1.012

Subregion Complexities from Kinematic Space — •Christian Northe — TP3 Universitaet, Wuerzburg, Deutschland

We consider subregion complexity within the AdS3/CFT2 correspondence. Using the Gauss-Bonnet theorem we evaluate this quantity for specific examples. In particular, we find a discontinuity when there is a change in the RT surface, given by a topological contribution. There is no further temperature dependence of the subregion complexity. We further propose a CFT expression for this complexity based on kinematic space, and use it to reproduce some of our explicit gravity results. We thus obtain and discuss a concrete matching of results for subregion complexity between gravity and CFT expressions.