Jiayue Yang: Quantum Information Gravity Holographic Complexity - RQI Circuit Waterloo 2023

Title: Quantum Information Gravity Holographic Complexity
Abstract: We investigate the holographic complexity of CFTs compactifed on a circle with a Wilson line, dual to magnetized solitons in AdS4 and AdS5. These theories have a confnement-deconfnement phase transition as a function of the Wilson line, and the complexity of formation acts as an order parameter for this transition. Through explicit calculation, we show that proposed complexity functionals based on volume and action obey a scaling relation with radius of the circle and further prove that a broad family of potential complexity functionals obeys this scaling behavior. As a result, we conjecture that the scaling law applies to the complexity of conformal feld theories on a circle in more general circumstances.