Mutual Information of Generalized Free Fields

CASINI, HORACIO; BENEDETTI, VALENTIN; PEDRO JORGE MARTINEZ

Congreso; Latin American School and Workshop on Gravity and Holography; 2022

Pontificia Universidad de Valparaiso

In this talk we will study some properties of generalized free fields (GFF) from the point of view of information measures. I will first highlight some properties of GFFs regarding non-equivalent ways of assigning operators to a spacetime region. In very simple examples one can see that different valid algebra choices lead to different results for entropy measures. There is no contradiction: different algebra choices also lead to different physical systems that are allowed to yield different entropy results. Armed with this intuition, we will explore the mutual information (MI) of holographic GFFs defined as the boundary theory of free fields in AdS. We pick two results from arXiv:2210.00013 we find particularly interesting and (will try to) present them in a pedagogical way.