چکیده

Inspired by recent developments towards solving the information loss paradox, and the issue of embedding lower-dimensional holographic dualities in higher-dimensional ones (specifically AdS$_2$/CFT$_1$ within AdS$3$/CFT$_2$), I will show that the bounce, or total action, associated to 2D vacuum transitions carries an entropic meaning, thereby circumventing the need to resort to detailed balance for assigning an entropy to the spacetimes involved in the transitions. In doing so, I will argue that these processes are local, and can be embedded in a suitably generalised KR/HM setup, with a gravitating bath and 2 ETW branes. The calculations were performed in, both, Euclidean and Lorentzian signature, and for both signs of the cosmological constant. The final expressions resemble, either, relative entropies, or differences of generalised entropies, with the internal entanglement being evaluated along the dilatonic direction. Throughout the description, I will be arguing about the importance of introducing an additional scale w.r.t. the cosmological constant, namely the black hole mass, and how going beyond a certain threshold implies the emergence of an island, ensuring uptunnelling from Minkowski can take place (thereby providing an example of an AdS$_2$/CFT$_1 otsubset$ AdS$_3$/CFT$_2$). Concluding remarks include connecting with recent developments towards finding the dual of dS$_2$, and the study of algebra of observables, as recently addressed by Susskind and Witten et al., respectively.

کليدواژه ها

AdS-CFT

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Veronica Pasquarella , 1401 , Holographic Interpretation of 2D Vacuum Transitions , دومین کنفرانس بین المللی هولوگرافی و کاربردهای آن