BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Anatoly Dymarsky (University of Kentucky) DTSTART:20200922T100000Z DTEND:20200922T110000Z DTSTAMP:20260513T213205Z UID:CCTP_HEP/13 DESCRIPTION:Title: Quantum codes\, lattices\, and conformal field theories\nby Anatoly Dymarsky (University of Kentucky) as part of CCTP HEP Seminars\n\n\nAbstra ct\nThere is a deep relation between classical error-correcting\ncodes\, E uclidean lattices\, and chiral 2d CFTs. We show this relation\nextends to include quantum codes\, Lorentzian lattices\, and non-chiral\nCFTs. The re lation to quantum codes provides a simple way to solve\nmodular bootstrap constraints and identify interesting examples of\nconformal theories. In p articular we construct many examples of\nphysically distinct isospectral t heories\, examples of "would-be" CFT\npartition function -- non-holomorphi c functions satisfying all\nconstraints of the modular bootstrap\, yet not associated with any\nknown CFT\, and find theory with the maximal spectra l gap among all\nNarain CFTs with the central charge c=4. We also discuss averaging\nover the ensemble of all CFTs associated with quantum codes\, a nd its\npossible holographic interpretation. The talk is based on\narXiv:2 009.01236 and arXiv:2009.01244.\n LOCATION:https://researchseminars.org/talk/CCTP_HEP/13/ END:VEVENT END:VCALENDAR