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VERSION:2.0
PRODID:-//Memento EPFL//
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SUMMARY:A crossing-symmetric OPE inversion formula
DTSTART:20181211T140000
DTEND:20181211T153000
DTSTAMP:20260406T020332Z
UID:4440fde56a13fca16bf22782b0d32fa96dc82df3d350fb741c77df09
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dalimil Mazac\nI will discuss a new Lorentzian OPE inversion f
 ormula for the principal series of SL(2\,R). Unlike the standard Lorentzia
 n inversion formula in higher D\, the new formula makes crossing symmetry 
 manifest. In particular\, inverting a single conformal block in the crosse
 d channel returns the coefficient function of the crossing-symmetric sum o
 f Witten exchange diagrams in AdS_2\, including the direct-channel exchang
 e. In this way\, the inversion formula leads to a derivation of the Polyak
 ov-Mellin bootstrap for SL(2\,R). Furthermore\, the formula directly gives
  rise to analytic extremal functionals which have appeared in recent liter
 ature\, unifying them to a single object. As an application\, I will expla
 in how one can use the resulting functionals to study phi^4 theory in AdS_
 2 up to two loops\, and prove universal properties of the spectrum at larg
 e scaling dimension
LOCATION:BSP 727 https://plan.epfl.ch/?room==BSP%20727
STATUS:CONFIRMED
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