BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Xie Chen (Caltech) DTSTART:20210217T181500Z DTEND:20210217T194500Z DTSTAMP:20260423T035820Z UID:VSFLRC/7 DESCRIPTION:Title: F racton and Chern-Simons Theory\nby Xie Chen (Caltech) as part of VSF L ong Range Colloquium\n\n\nAbstract\nFracton order describes the peculiar p henomena that point excitations in certain strongly interacting systems ei ther cannot move at all or are only allowed to move in a lower dimensional sub-manifold. It has recently been discovered in various lattice models\, tensor gauge theories\, etc. In this talk\, we discuss how another powerf ul field theory framework -- the 2+1D Chern-Simons (CS) gauge theory -- ca n be used to provide new insight and explore new possibilities in 3+1D fra cton order. 2+1D U(1) gauge theories with a CS term provide a simple and c omplete characterization of 2+1D Abelian topological orders. To study 3+1D fracton order\, we extend the theory by taking the number of component ga uge fields to be infinity. In the simplest case of infinite-component CS g auge theory\, different components do not couple to each other and the the ory describes a decoupled stack of 2+1D fractional Quantum Hall systems wi th quasi-particles moving only in 2D planes -- hence a fractonic system. M ore interestingly\, we find that when the component gauge fields do couple through the CS term\, more varieties of fractonic orders are possible. Fo r example\, they may describe foliated fractonic systems which extends the framework found in exactly solvable models. Moreover\, we find examples w hich lie beyond the foliation framework\, characterized by 2D excitations of infinite order and braiding statistics that are not strictly local.\n LOCATION:https://researchseminars.org/talk/VSFLRC/7/ END:VEVENT END:VCALENDAR