BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Gregory Korchemsky (IPhT Saclay) DTSTART:20220217T144500Z DTEND:20220217T163000Z DTSTAMP:20260423T040411Z UID:LIJC/62 DESCRIPTION:Title: Ap plications of strong Szego limit theorem in AdS/CFT\nby Gregory Korche msky (IPhT Saclay) as part of London Integrability Journal Club\n\n\nAbstr act\nI will review a recent progress in computing four-point correlation f unctions of infinitely heavy half-BPS operators in planar N = 4 SYM. Takin g advantage of integrability of the theory\, these correlation functions c an be constructed in terms of fundamental building blocks - the octagon fo rm factors. We show that the octagon form factor can be expressed as a Fre dholm determinant of an integrable Bessel operator and demonstrate that th is representation is very efficient in finding its dependence on the ’t Hooft coupling and two cross ratios. At weak coupling\, this yields a know n series representation of the octagon in terms of ladder integrals. At st rong coupling\, we apply strong Szego limit theorem to develop a systemati c expansion of the octagon in the inverse powers of the coupling constant and calculate accompanying expansion coefficients analytically.\n LOCATION:https://researchseminars.org/talk/LIJC/62/ END:VEVENT END:VCALENDAR