BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Yikun Jiang (Northeastern University) DTSTART:20240507T193000Z DTEND:20240507T203000Z DTSTAMP:20260423T005832Z UID:HET/60 DESCRIPTION:Title: Bui lding up quantum spacetimes with BCFT Legos\nby Yikun Jiang (Northeast ern University) as part of Purdue HET\n\nLecture held in Room 350 in the D epartment of Physics and Astronomy.\n\nAbstract\nIs it possible to read of f the quantum gravity dual of a CFT directly from its operator algebra? In this talk\, I will present a step-by-step recipe for building up 3D quant um spacetimes dual to 2D CFTs\, synthesizing results and techniques from c onformal bootstrap\, topological symmetries\, real-space tensor network re normalization\, and the asymptotics of quantum 6j symbols. Quantum Liouvil le theory serves as a simple and explicit example\, illustrating how the e xact CFT/gravitational path integral can be built up from triangulation an d local pieces of BCFT correlation functions\, which we call the ``BCFT Le gos''. This is essentially a tensor network that admits an interpretation of a state-sum of a 3D topological theory constructed with quantum 6j symb ols of Uq(SL(2\,R)) with non-trivial boundary conditions\, and it reduces to a sum over 3D geometries weighted by the Einstein-Hilbert action to lea ding order in large c. The triangulation coincides with producing a networ k of geodesics in the AdS bulk\, which can be changed making use of the pe ntagon identity and orthogonality condition satisfied by the 6j symbols\, and arranged into a precise holographic tensor network. The constructive m ap between gravity and CFT naturally and explicitly bridges local geometri cal data\, algebraic structures\, and quantum entanglement.\n LOCATION:https://researchseminars.org/talk/HET/60/ END:VEVENT END:VCALENDAR