BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Vijay Balasubramanian (UPenn) DTSTART:20200507T190000Z DTEND:20200507T200000Z DTSTAMP:20260423T035707Z UID:IFQ/1 DESCRIPTION:Title: Geom etric secret sharing in a model of Hawking radiation\nby Vijay Balasub ramanian (UPenn) as part of It from Qubit\n\n\nAbstract\nWe consider a bla ck hole in three dimensional AdS space entangled with an auxiliary radiati on system. We then model the microstates of the black hole in terms of a f ield theory living on an end of the world brane behind the horizon\, and a llow this field theory to itself have a holographic dual geometry. This ge ometry is also a black hole since entanglement of the microstates with the radiation leaves them in a mixed state. This "inception black hole" can b e purified by entanglement through a wormhole with an auxiliary system whi ch is naturally identified with the external radiation\, giving a realizat ion of the ER=EPR scenario. In this context\, we propose an extension of t he Ryu-Takayanagi (RT) formula\, in which extremal surfaces computing enta nglement entropy are allowed to pass through the brane into its dual geome try. This new rule reproduces the Page curve for evaporating black holes\, consistently with the recently proposed "island formula". We then separat e the radiation system into pieces. Our extended RT rule shows that the en tanglement wedge of the union of radiation subsystems covers the black hol e interior at late times\, but the union of entanglement wedges of the sub systems may not. This result points to a secret sharing scheme in Hawking radiation wherein reconstruction of certain regions in the interior is imp ossible with any subsystem of the radiation\, but possible with all of it. \n LOCATION:https://researchseminars.org/talk/IFQ/1/ END:VEVENT END:VCALENDAR