München 2019 – scientific programme
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 4: Quanteninformation und AdS/CFT
MP 4.2: Talk
Tuesday, March 19, 2019, 11:40–12:00, HS 23
Complexity change under conformal transformations in AdS3/CFT2 — •Mario Flory1 and Nina Miekley2 — 1Jagiellonian University, Łojasiewicza 11, 30-348 Kraków, Poland — 2Universität Würzburg, Am Hubland, 97074 Würzburg, Germany
We compute the change of "holographic complexity" caused by a small conformal transformation in AdS3/CFT2. This computation is done perturbatively to second order. We present our results and discuss some important observations. As operators generating such conformal transformations can be explicitly constructed in CFT terms, these results allow for a comparison between holographic methods of defining and computing computational complexity and purely field-theoretic proposals. A comparison of our results to such proposals is given.