Geometry of Krylov Complexity

Abstract: I will describe geometric aspect of the operator growth and Krylov complexity from a new perspective of symmetries and coherent states. As the main examples I will talk about operator growth and Krylov complexity in the SYK model and in 2d CFTs. Based on arXiv: 2109.03824 [hep-th] and arXiv: 2110.10519 [hep-th].

general relativity and quantum cosmologyHEP - phenomenologyHEP - theory

Audience: researchers in the topic

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Frontiers of Holographic Duality-3

Series comments: Having been initially used as a tool to explore strongly coupled phenomena, holography found important applications and intriguing insights in the structure of quantum gravity and quantum information, linking them to certain universal properties of strongly coupled chaotic quantum systems. It provides unified geometric tools for the description of various phenomena in the heavy ions collision physics, many-body physics applications, black hole physics, and quantum information theory.

The aim is to explore a wide variety of aspects of holographic duality, bringing together specialists in main topics to have comprehensive, but intensive discussions of the frontiers of holography and closely related subjects of quantum information and strongly-coupled theory.

The topics to be discussed include holographic duality and applications:

-holographic quantum chromodynamics and heavy ions collisions; -entanglement, chaos and many-body phenomena; -black holes and quantum information.

Zoom password and organization information will be sent to speakers and registered participants. Please note that all talks will be moderated and recorded.

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