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UID:4862@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20230918T100000
DTEND;TZID=Europe/Paris:20230918T110000
DTSTAMP:20240524T072506Z
URL:https://www.i2m.univ-amu.fr/evenements/on-z_2-index-and-string-order-o
 f-gapped-ground-states-of-11-dim-interacting-fermion-systems/
SUMMARY: (...): On Z_2 index and String Order of Gapped Ground States of 1+
 1 dim interacting Fermion Systems
DESCRIPTION:: In this talk\, we explain our results on classification of ga
 pped ground states of 1+1 dim interacting Fermion systems. In case of non-
 interacting Fermion systems with translation symmetry\, the ground states 
 are in one to one correspondence with projection matrix valued functions o
 n a torus (or equivalently vector bundles on a torus) and are classified b
 y K theory. For the interacting case\, no geometric correspondence is yet 
 known\, nevertheless\, for 1+1 dimensional systems\, using C*-operator alg
 ebraic methods\, we obtain an invariant\, so called "String Order" of clas
 sification of gapped ground states. \n[su_spacer size="10"]\n\n\nSéminair
 e Analyse et Géométrie\n&nbsp\;
CATEGORIES:Séminaire,Analyse et Géométrie
LOCATION:I2M Chateau-Gombert - CMI\, Salle de Séminaire R164 (1er étage)\
 , 39 Rue Joliot Curie\, 13013 Marseille\, France\, Campus Château-Gombert
 \, 
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=39 Rue Joliot Curie\, 13013
  Marseille\, France\, Campus Château-Gombert\, ;X-APPLE-RADIUS=100;X-TITL
 E=I2M Chateau-Gombert - CMI\, Salle de Séminaire R164 (1er étage):geo:0,
 0
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