BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Gabriel Wong (Harvard CMSA) DTSTART:20230504T180000Z DTEND:20230504T190000Z DTSTAMP:20260423T004758Z UID:nhetc/84 DESCRIPTION:Title: G eneralized entropy in topological string theory\nby Gabriel Wong (Harv ard CMSA) as part of NHETC Seminar\n\n\nAbstract\nThe holographic entangle ment entropy formula identifies the generalized entropy of the bulk AdS sp acetime with the entanglement entropy of the boundary CFT. However the bul k microstate interpretation of the generalized entropy remains poorly unde rstood. Progress along this direction requires a definition of Hilbert sp ace factorization and entanglement entropy in the bulk closed string theor y. As a toy model for AdS/CFT\, we study the entanglement entropy of clos ed strings in the topological A model\, which enjoys a gauge-string dualit y. We define a notion of generalized entropy for closed strings on the re solved conifold using the replica trick. As in AdS/CFT\, we find this is dual to (defect) entanglement entropy in the dual Chern Simons gauge theo ry. Our main result is a bulk microstate interpretation of the generaliz ed entropy for closed strings as the entanglement entropy of open strings ending on ``entanglement branes" . These branes are interpreted as entangl ement edge modes\, which transform under a quantum group symmetry. We rel ate these entanglement branes to the Dbranes of the A model topological st ring.\n LOCATION:https://researchseminars.org/talk/nhetc/84/ END:VEVENT END:VCALENDAR