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SUMMARY:Recurrence relations for the ${\\cal W}_3$ conformal blocks and
${\\cal N}=2$ SYM partition functions
DTSTART;VALUE=DATE-TIME:20171213T140000Z
DTEND;VALUE=DATE-TIME:20171213T150000Z
DTSTAMP;VALUE=DATE-TIME:20180124T094520Z
UID:indico-event-14622@cern.ch
DESCRIPTION:Description: Recursion relations for the sphere $4$-point and
torus $1$-point ${\\cal W}_3$ conformal blocks\, generalizing Alexei
Zamolodchikov's famous relation for the Virasoro conformal blocks are
proposed.\nOne of these relations is valid for any 4-point conformal block
with two arbitrary and two special primaries with charge parameters
proportional to the highest weight of the fundamental irrep of
$SU(3)$.\nThe other relation is designed for the torus conformal block
with a special (in above mentioned sense) primary field insertion. AGT
relation maps the sphere conformal block and the torus block to the
instanton partition functions of the ${\\cal N}=2$ $SU(3)$ SYM theory with
6 fundamental or an adjoint hypermultiplets respectively. AGT duality
played a central role in establishing these recurrence relations\, whose
gauge theory counterparts are novel relations for the $SU(3)$ partition
functions with $N_f=6$\nfundamental or an adjoint hypermultiplets. By
decoupling some (or all) hypermultiplets\, recurrence relations for the
asymptotically free theories with $0\\le N_f\nURL:
https://agenda.infn.it/conferenceDisplay.py?confId=14622
LOCATION:Dipartimento di Fisica e Astronomia Aula Teorici
URL:https://agenda.infn.it/conferenceDisplay.py?confId=14622
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