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SUMMARY:Rob Klabbers (Humboldt-Universität zu Berlin)
DTSTART:20220530T090000Z
DTEND:20220530T100000Z
DTSTAMP:20260423T024425Z
UID:IPHT-PHM/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IPHT-PHM/3/"
 >Integrable PDEs\, spin chains and CFT</a>\nby Rob Klabbers (Humboldt-Univ
 ersität zu Berlin) as part of Séminaire de physique mathématique IPhT\n
 \nLecture held in Salle Claude Itzykson\, Bât. 774\, Orme des Merisiers.\
 n\nAbstract\nIt has been known for a long time that there are close\nconne
 ctions between integrable PDEs and CFT. For example\, the\ndeep-water-wave
  equation called the Benjamin-Ono (BO) equation is\nintegrable and its fir
 st quantisation sits in a certain CFT. This\nconnection can be understood 
 by the fact that the BO equation can be\nobtained as a continuum limit of 
 Calogero-Sutherland (CS) models\, the\neigenfunctions of which also play a
  role in the diagonalisation of the CFT.\n\nRecently a spin generalisation
  of the Benjamin-Ono equation was proposed\nand named the half-wave-maps e
 quation. I will discuss how this equation\nis related to CS models as well
  as integrable spin chains\, thereby\nfurther entangling all these differe
 nt systems and opening the door for\ninvestigations into more complex CFTs
 . I will show what are the most\nnatural generalisations of this equation\
 , indicating the central role\nplayed by chirality.\n
LOCATION:https://researchseminars.org/talk/IPHT-PHM/3/
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