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UID:649@qft.physik.hu-berlin.de
DTSTART;TZID=Europe/Berlin:20151104T133000
DTEND;TZID=Europe/Berlin:20151104T143000
DTSTAMP:20151103T032812Z
URL:https://qft.physik.hu-berlin.de/next-seminars/sasha-zhiboedov-harvard-
 university-2/
SUMMARY:Sasha Zhiboedov\, Harvard University - An Algebraic Approach to the
  Analytic Bootstrap
DESCRIPTION:We develop an algebraic approach to the analytic bootstrap in C
 FTs. By acting with the Casimir operator on the crossing equation we map t
 he problem of doing large spin sums to any desired order to the problem of
  solving a set of recursion relations. We compute corrections to the anoma
 lous dimension of large spin operators due to the exchange of a primary an
 d its descendants in the crossed channel and show that this leads to a Bor
 el-summable expansion. We analyse higher order corrections to the microsco
 pic CFT data in the direct channel and its matching to infinite towers of 
 operators in the crossed channel. We apply this method to the critical O(
 N) model. At large N we reproduce the first few terms in the large spin
  expansion of the known two-loop anomalous dimensions of higher spin curre
 nts in the traceless symmetric representation of O(N) and make further p
 redictions. At small N we present the results for the truncated large sp
 in expansion series of anomalous dimensions of higher spin currents.
CATEGORIES:Research Seminars
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