BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Arkady Tseytlin (Imperial Coll.\, London) DTSTART:20220127T144500Z DTEND:20220127T163000Z DTSTAMP:20260423T040411Z UID:LIJC/59 DESCRIPTION:Title: Wi lson loop in general representation and RG flow in 1d defect QFT\nby A rkady Tseytlin (Imperial Coll.\, London) as part of London Integrability J ournal Club\n\n\nAbstract\nThe generalized Wilson loop operator interpolat ing between the supersymmetric and the ordinary Wilson loop in N=4 SYM the ory provides an interesting example of renormalization group flow on a lin e defect: the scalar coupling parameter \\zeta has a non-trivial beta func tion and may be viewed as a running coupling constant in a 1d defect QFT.\ nWe continue the study of this operator\, generalizing previous results fo r the beta function and Wilson loop expectation value to the case of an ar bitrary representation of the gauge group and away from the planar limit. Focusing on the scalar ladder limit where the generalized Wilson loop redu ces to a purely scalar line operator in a free adjoint theory\, and\nspeci alizing to the case of the rank k symmetric representation of SU(N)\, we a lso study a certain ``semiclassical'' limit where k is taken to infinity w ith k \\zeta^2 fixed. This limit can be conveniently studied using a 1d de fect QFT representation in terms of path integral over N commuting 1d boso ns. Using this representation\, we compute the beta function and circular loop expectation value in the large k limit\, and use it to derive constra ints on the structure of the beta function for general representation. We discuss the corresponding 1d RG flow and comment on the consistency of th e results with the 1d defect version of the F-theorem.\n \nbased on joint work with Matteo Beccaria and Simone Giombi\n LOCATION:https://researchseminars.org/talk/LIJC/59/ END:VEVENT END:VCALENDAR