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SUMMARY:Daniele Dorigoni (Durham)
DTSTART:20210311T100000Z
DTEND:20210311T114500Z
DTSTAMP:20260710T045227Z
UID:RENC-THEO/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/RENC-THEO/25
 /">An exact integrated correlator in $N=4$ SU(N) SYM</a>\nby Daniele Dorig
 oni (Durham) as part of Rencontres Théoriciennes\n\nLecture held in Insti
 tut Henri Poincaré\, Room 314 unless specified otherwise.\n\nAbstract\nBe
 tween all the magical properties of $\\mathcal{N} = 4$ SU(N) super Yang-Mi
 lls perhaps one of the most important is Montonen-Olive electric-magnetic 
 $SL(2\,Z)$ duality.In particular this leads to the constraint that observa
 bles must be invariant under inversion of the complex YM coupling $\\tau$\
 , i.e. under $\\tau \\to -1 / \\tau$. In this talk we will focus on one su
 ch physical quantity\, namely an integrated correlator of four super-confo
 rmal primaries of the stress-tensor multiplet. I will firstly review how t
 his correlator can be computed via supersymmetric localisation on $S^4$\, 
 and then discuss how this quantity can be rewritten in a manifestly $SL(2\
 ,Z)$ invariant way for any number of colours N\, and any value of the comp
 lex YM coupling \\tau. Thanks to this novel expression we can explore vari
 ous different regimes: perturbative SYM\, large-N supergravity approximati
 on\, large-N 't Hooft expansion. All of these regimes are connected via a 
 remarkable Laplace-difference equation relating the SU(N) to the SU(N + 1)
  and SU(N &#8722\; 1) correlators.\n\nOnline only. Zoom password=1234\n
LOCATION:https://researchseminars.org/talk/RENC-THEO/25/
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