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SUMMARY:Symmetry Topological Order correspondence and Generalized Symmetri
 es
DTSTART:20260512T090000Z
DTEND:20260512T100000Z
DTSTAMP:20260513T143100Z
UID:indico-event-18816@indico.psi.ch
CONTACT:markus.mueller@psi.ch
DESCRIPTION:Speakers: Oemer Aksoy\n\nSymmetry is one of the most powerful 
 tools in physics. On the one hand\, the presence of symmetries can constra
 int the spectral properties in the form of conservation laws or anomalies.
  On the other hand\, the phases of matter can be characterized and organiz
 ed by their corresponding (spontaneous) symmetry breaking patterns. Recent
 ly a deep connection between the symmetry structure of quantum matter in d
 -dimensional space and topological orders in (d+1)-dimensional space\, the
  so-called symmetry-topological-order (SymTO) correspondence\, has been un
 covered. In this talk\, I will give a pedagogical review of the SymTO cons
 truction for the simplest paradigmatic examples of spontaneous symmetry br
 eaking and topological orders\, namely the transverse field Ising model in
  one-dimensional space and Kitaev's toric code in two-dimensional space\, 
 respectively. I will then show how SymTO framework can be used to organize
  the phases of matter realized in quantum spin chains with non-invertible 
 symmetries i.e.\, unusual symmetry transformations that do not have an inv
 erse and\, hence\, are not implemented by unitary operators. No prior know
 ledge on topological orders or SymTO correspondence is needed.\n\nhttps://
 indico.psi.ch/event/18816/
LOCATION:Teams
URL:https://indico.psi.ch/event/18816/
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