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SUMMARY:David Vegh (Queen Mary\, U. of London)
DTSTART:20220210T150000Z
DTEND:20220210T163000Z
DTSTAMP:20260423T040009Z
UID:LIJC/61
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LIJC/61/">Th
 e spectral curve of segmented strings</a>\nby David Vegh (Queen Mary\, U. 
 of London) as part of London Integrability Journal Club\n\n\nAbstract\nIn 
 this talk\, I will discuss how to compute the spectral curve of ``segmente
 d strings'' in AdS_3. The motion of a string in this target space is integ
 rable and the worldsheet theory can be discretized while preserving integr
 ability. The corresponding embeddings are segmented strings\, which genera
 lize piecewise linear strings in flat space. I will present several exampl
 es. Next\, I will introduce ``brane tilings''\, which are doubly-periodic 
 planar bipartite graphs. I will show that the motion of a closed segmented
  string can be embedded into the mutation dynamics of a certain brane tili
 ng. This will enable us to compute the spectral curve by taking the determ
 inant of the dressed adjacency matrix of the tiling.\n
LOCATION:https://researchseminars.org/talk/LIJC/61/
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