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Upcoming Seminars in series RENC-THEO at IHP
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Thursday 19 December 2019, 10:00 at IHP, Salle 314 RENC-THEO (Rencontres Théoriciennes) hep-th
Dalimil Mazac ( Stony Brook ) Sphere packing, modular bootstrap and extremal functionals
Abstract: I will prove a theorem about 2D CFTs: Every unitary 2D CFT must contain a non-trivial Virasoro primary of scaling dimension at most c/8 + 1/2, where c is the central charge. At large c, this is an improvement of the Hellerman bound c/6 + O(1), and is relevant for constraining the spectrum of gravitational theories in AdS3. The proof follows from the modular bootstrap and uses analytic extremal functionals, originally developed in the context of four-point SL(2) conformal bootstrap. In the second part of the talk, I will discuss a surprising connection between modular bootstrap and the sphere-packing problem from discrete geometry. In particular, the above bound on the gap becomes a bound on the sphere-packing density. In 8 and 24 dimensions, this bound is sharp and leads to a solution of the sphere-packing problem in these dimensions, as originally proved by Viazovska et al.

Thursday 9 January 2020, 10:00 at IHP, 314 RENC-THEO (Rencontres Théoriciennes) hep-th
Andrew Tolley ( Imperial Coll. London ) TBA

Thursday 9 January 2020, 11:40 at IHP, 314 RENC-THEO (Rencontres Théoriciennes) hep-th
Maximilian Attems ( Universidade de Santiago de Compostela ) TBA

Thursday 12 March 2020, 10:00 at IHP, 314 RENC-THEO (Rencontres Théoriciennes) hep-th
Francesco Benini ( SISSA, Trieste ) TBA

Thursday 23 April 2020, 10:00 at IHP, 314 RENC-THEO (Rencontres Théoriciennes) hep-th
Andreas Braun ( Durham University ) TBA

Thursday 14 May 2020, 10:00 at IHP, 314 RENC-THEO (Rencontres Théoriciennes) hep-th
Alexander Zhiboedov ( CERN ) TBA

Thursday 18 June 2020, 10:00 at IHP, 201 RENC-THEO (Rencontres Théoriciennes) hep-th
Wolfgang Lerche ( CERN ) TBA

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