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SUMMARY:Joao Caetano (YITP)
DTSTART:20200625T140000Z
DTEND:20200625T160000Z
DTSTAMP:20260423T040115Z
UID:LIJC/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LIJC/8/">Exa
 ct g-functions</a>\nby Joao Caetano (YITP) as part of London Integrability
  Journal Club\n\n\nAbstract\n​The g-function is a measure of degrees of 
 freedom associated to a boundary of two-dimensional quantum field theories
 . In integrable theories\, it can be computed exactly in a form of the Fre
 dholm determinant\, but it is often hard to evaluate numerically. In this 
 paper\, we derive functional equations---or equivalently integral equation
 s of the thermodynamic Bethe ansatz (TBA) type---which directly compute th
 e g-function in the simplest integrable theory\; the sinh-Gordon theory at
  the self-dual point. The derivation is based on the classic result by Tra
 cy and Widom on the relation between Fredholm determinants and TBA\, which
  was used also in the context of topological string. As a side result\, we
  present multiple integrals of Q-functions which we conjecture to describe
  a universal part of the g-function\, and discuss its implication to integ
 rable spin chains.\n
LOCATION:https://researchseminars.org/talk/LIJC/8/
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