Speaker
Jiayue Yang
Description
We investigate the holographic complexity of CFTs compactified
on a circle with a Wilson line, dual to magnetized solitons in AdS$_4$ and
AdS$_5$. These theories have a confinement-deconfinement 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 field theories on a circle in more general
circumstances.
| Presenter's Name | Jiayue Yang |
|---|---|
| Presenter's Email Address | [email protected] |
| Keywords | AdS-CFT Correspondence, Holographic Complexity, Quantum Gravity, Qauntum Information, Holography |
| Recording Permission | YES |
| Virtual Audience Permission | YES |
| Event Photography | I understand |
Author
Jiayue Yang
Co-author
Andrew Frey
