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SUMMARY:On 't Hooft lines and Lax operators of $SO_{2N}$ type
DTSTART;VALUE=DATE-TIME:20220322T141500Z
DTEND;VALUE=DATE-TIME:20220322T143000Z
DTSTAMP;VALUE=DATE-TIME:20260906T152434Z
UID:indico-contribution-2241@indico.tlabs.ac.za
DESCRIPTION:Speakers: Youssra Boujakhrout (LPHE-MS\, Science Faculty\, Moh
 ammed V University in Rabat\, Morocco)\nThe four dimensional Chern Simons 
 topological gauge theory represents a rich framework allowing to study two
 -dimensional integrable systems using line and surface defects and Feynman
  diagrams computations. Relying on this "Gauge/Bethe ansatz" correspondenc
 e\, one can recover interesting results of the integrable models and gener
 ate new ones without reference to the traditional algebraic techniques. Fo
 r example\, the study of the intrinsic properties of interacting Wilson an
 d 't Hooft line defects in the 4DCS theory yields the oscillator realisati
 on of the Lax operator verifying the RLL equation of integrability. This s
 tudy focuses on the 4DCS theory with invariance given by the $SO_{2N}$ gau
 ge group\, which allows to construct the Lax operator associated to the QQ
  representation of an XXX spin chain with $so_{2N}$ symmetry. This also al
 lows to interprete the oscillator degrees of freedom in terms of algebras 
 decomposition and field bundles charges.\n\nhttps://indico.tlabs.ac.za/eve
 nt/109/contributions/2241/
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URL:https://indico.tlabs.ac.za/event/109/contributions/2241/
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