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SUMMARY:TBA equations and WKB periods for higher order ODE - Katsushi Ito 
 (Tokyo Institute of Technology)
DTSTART:20220914T090000Z
DTEND:20220914T100000Z
UID:TALK178121@talks.cam.ac.uk
DESCRIPTION:We study the WKB periods for the (r+1)-th order ordinary&nbsp\
 ;differential equation (ODE) with polynomial potential\, which is obtained
  by&nbsp\;conformal limit of the linear problem associated with the A^{(1)
 }_r&nbsp\;affine Toda field equation.&nbsp\;The ODE/IM correspondence prov
 ides a relation between the Wronskians of the&nbsp\;solutions and the Y-fu
 nctions which satisfy the thermodynamic Bethe ansatz&nbsp\;(TBA) equation.
  We show the equivalence between the logarithm of the&nbsp\;Y-functions an
 d the WKB periods\, which is confirmed by solving the TBA equation numeric
 ally. We also discuss the wall-crossing of the TBA equations from the mini
 mal chamber to the maximal chamber. This talk is based on arXiv:2104.13680
 [hep-th] and 2111.11047[hep-th] in collaboration with Takayasu Kondo\, Koh
 ei Kuroda and Hongfei Shu.
LOCATION:No Room Required
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