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SUMMARY:Marius de  Leeuw
DTSTART:20200709T140000Z
DTEND:20200709T160000Z
DTSTAMP:20260423T022814Z
UID:LIJC/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LIJC/10/">So
 lving the Yang-Baxter equation</a>\nby Marius de  Leeuw as part of London 
 Integrability Journal Club\n\n\nAbstract\nThe Yang-Baxter equation is an i
 mportant equation that appears in many\ndifferent areas of physics. It sig
 nals the presence of integrable\nstructures which appear in topics ranging
  from condensed matter physics\nto holography. In this talk I will discuss
  a new method to find all\nregular solutions of the Yang-Baxter equation b
 y using the so-called\nboost automorphism. The main idea behind this metho
 d is to use the\nHamiltonian rather than the R-matrix as a starting point.
  I will\ndemonstrate our method by classifying all solutions of the Yang-B
 axter\nequation of eight-vertex type. I will also consider certain 9x9 and
 \n16x16 solutions and give new integrable models in all of these cases. As
 \na further application\, I will discuss all integrable deformations of\nR
 -matrices that appear in the lower-dimensional cases of the AdS/CFT\ncorre
 spondence.\n
LOCATION:https://researchseminars.org/talk/LIJC/10/
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