BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Laurens Lootens (University of Ghent) DTSTART:20200924T133000Z DTEND:20200924T143000Z DTSTAMP:20260423T011157Z UID:HEP-TN/7 DESCRIPTION:Title: M atrix product operator symmetries and intertwiners for topological and cri tical lattice models\nby Laurens Lootens (University of Ghent) as part of HEP-tensor network seminars\n\n\nAbstract\nProjected entangled pair st ate (PEPS) descriptions of (2+1)d topologically ordered states are charact erized by non-local matrix product operator (MPO) symmetries on the entang lement degrees of freedom of the PEPS tensors. Various explicit tensor net work representations and their symmetries have been known for a long time\ , examples being G-injective and string-net PEPS. In this talk\, based on our recent work (arXiv:2008.11187)\, I will synthesize and generalize thes e results by showing that the consistency conditions for MPO symmetries am ount to the defining equations of a bimodule category\, thereby showing th at the classification of these PEPS and MPO symmetries amounts to the clas sification of the data of a bimodule category. Different PEPS representati ons of the same state can be related by an MPO intertwiner\, which can be thought of as a generalized gauge transformation on the virtual level\, pr oviding an important step towards a general fundamental theorem of PEPS. A dditionally\, these new PEPS representations allow us to construct tensor network representations of domain walls between different topological phas es. Finally\, all these results have an immediate application to critical lattice models described by CFT\, and I will illustrate this by giving an example of orbifolding or simple current extension on the lattice.\n LOCATION:https://researchseminars.org/talk/HEP-TN/7/ END:VEVENT END:VCALENDAR