Complexity change under conformal transformations in AdS3/CFT2

Friday 11 Jan 2019, 14:15 → 16:15 Europe/Berlin

Abbeanum/Ground floor-HS 2 - Hörsaal 2 (TPI, FSU Jena)

Speaker: Mario Flory

 

Abstract: I will discuss two proposals for computing the "complexity" of a holographic state by bulk methods in AdS/CFT. I then show how to perturbatively compute the change of holographic complexity caused by a small conformal transformation in AdS3/CFT2. 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.