BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Sridip Pal (IAS\, Princeton) DTSTART:20201109T173000Z DTEND:20201109T184500Z DTSTAMP:20260404T132229Z UID:HET/3 DESCRIPTION:Title: Universality in Asymptotic bounds and their saturation in 2D CFT\nb y Sridip Pal (IAS\, Princeton) as part of Purdue HET\n\n\nAbstract\nWe con sider the universality of existence and saturation of asymptotic bounds in various quantities in 2D CFT. In particular\, we focus on previously deri ved upper and lower bounds on the number of operators in a window of scali ng dimensions [Δ−δ\,Δ+δ] at asymptotically large Δ in 2d unitary mo dular invariant CFTs. These bounds depend on a choice of functions that ma jorize and minorize the characteristic function of the interval [Δ−δ\, Δ+δ] and have Fourier transforms of finite support. The optimization of the bounds over this choice turns out to be exactly the Beurling-Selberg e xtremization problem\, widely known in analytic number theory. When the wi dth of the interval is integer\, the bounds are saturated by known partiti on functions with integer-spaced spectra. We further show with numerical a ssistance that one can see morally similar bounds and saturation in asympt otics of various OPE coefficient. The talk will be based on arXiv:2003.143 16 [hep-th] and arXiv: 2011.02482 [hep-th].\n LOCATION:https://stable.researchseminars.org/talk/HET/3/ END:VEVENT END:VCALENDAR