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:20260423T022714Z UID:HET/3 DESCRIPTION:Title: Univ ersality in Asymptotic bounds and their saturation in 2D CFT\nby Sridi p Pal (IAS\, Princeton) as part of Purdue HET\n\n\nAbstract\nWe consider t he universality of existence and saturation of asymptotic bounds in variou s quantities in 2D CFT. In particular\, we focus on previously derived upp er and lower bounds on the number of operators in a window of scaling dime nsions [Δ−δ\,Δ+δ] at asymptotically large Δ in 2d unitary modular i nvariant CFTs. These bounds depend on a choice of functions that majorize and minorize the characteristic function of the interval [Δ−δ\,Δ+δ] and have Fourier transforms of finite support. The optimization of the bou nds over this choice turns out to be exactly the Beurling-Selberg extremiz ation problem\, widely known in analytic number theory. When the width of the interval is integer\, the bounds are saturated by known partition func tions with integer-spaced spectra. We further show with numerical assistan ce that one can see morally similar bounds and saturation in asymptotics o f various OPE coefficient. The talk will be based on arXiv:2003.14316 [hep -th] and arXiv: 2011.02482 [hep-th].\n LOCATION:https://researchseminars.org/talk/HET/3/ END:VEVENT END:VCALENDAR