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SUMMARY:A Non-Semisimple Categorical Symmetry on the Lattice [Confirmed]
DTSTART:20260508T183000Z
DTEND:20260508T200000Z
DTSTAMP:20260914T202300Z
UID:indico-event-2267@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Matthew Yu (University of Oxford - Mathematical Inst
 itute)\n\nSemisimple categorical symmetries\, and their physical implicati
 ons have been studied in great detail in the continuum and on the lattice.
  In particular\, the nice properties of semisimple categories allows one t
 o construct hamiltonians which enjoy this symmetry\, and study its symmetr
 ic gapped phases. Using the anyonic chain framework in (1+1)d\, I will pre
 sent a model that has a finite but non-semisimple categorical symmetry. Sa
 crificing Hermiticity\, I will present several symmetric\, frustration-fre
 e\, gapped Hamiltonians with real spectra and analyze their ground state s
 ubspaces. I then discuss two intriguing phenomena. First\, I will identify
  a smooth path of gapped symmetric Hamiltonians whose ground states transf
 orm inequivalently under the symmetry. Second\, I will discuss a model whe
 re a product state and the so-called W state spontaneously break the symme
 try\, and propose an explanation for the indistinguishability of these two
  states in the infinite-volume limit in terms of the symmetry category.\n\
 nhttps://events.perimeterinstitute.ca/event/2267/
LOCATION:PI/3-394 - Skyroom (Perimeter Institute for Theoretical Physics)
URL:https://events.perimeterinstitute.ca/event/2267/
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