BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Congkao Wen (QMUL) DTSTART:20210520T141500Z DTEND:20210520T160000Z DTSTAMP:20260423T040227Z UID:LIJC/42 DESCRIPTION:Title: In tegrated four-point correlators in N=4 super Yang-Mills\nby Congkao We n (QMUL) as part of London Integrability Journal Club\n\n\nAbstract\nWe wi ll study the correlation function of four superconformal primaries in N=4 super Yang-Mills (SYM) with SU(N) gauge group. Recently\, very powerful me thods have been developed to compute this correlator at finite coupling ba sed on a new concept of integrated correlators\, which are defined by inte grating the correlator over spacetime coordinates with suitable integratio n measures. The integrated correlators can be computed using supersymmetri c localisation. We will mostly focus on one of the integrated correlators. An exact expression was found for this integrated correlator for arbitrar y values of coupling and N. The integrated correlator can be expressed as a two-dimensional lattice sum\, which manifests the SL(2\, Z) modular inva riance of N=4 SYM. Furthermore\, the result obeys an elegant Laplace-diffe rence equation that relates the correlator of SU(N) theory with those of S U(N-1) and SU(N+1) theories. In perturbation\, the formula is checked to b e consistent with known results from more standard methods. Finally\, one can reconstruct the unintegrated correlator with finite coupling for first few orders in large-N expansion\, the results are shown to agree with kno wn type IIB superstring amplitudes due to AdS/CFT duality. This talk will be mainly based on https://arxiv.org/abs/2102.09537 (a short version can b e found at https://arxiv.org/abs/2102.08305).\n LOCATION:https://researchseminars.org/talk/LIJC/42/ END:VEVENT END:VCALENDAR