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SUMMARY:The growth of the 1/16-BPS index in N=4 Super Yang-Mills.
DTSTART;VALUE=DATE-TIME:20200526T120000Z
DTEND;VALUE=DATE-TIME:20200526T140000Z
DTSTAMP;VALUE=DATE-TIME:20200707T124540Z
UID:indico-event-908328@indico.cern.ch
DESCRIPTION:Zoom virtual seminar: click here to enter room\n\n\nAbstract:
I will discuss the superconformal index that counts states preserving two
supercharges in N=4 SYM\, and more generally in N=1 SCFTs\, on S^3. Th
is index is captured by a unitary matrix model with purely double trace op
erators in the action. The AdS/CFT correspondence predicts that the index
should have exponential growth at large charges and large N\, correspondi
ng to the 1/16-BPS black hole (BH) in AdS5. I will present analytical and
numerical analyses of the matrix model which clearly show this expected B
H growth. In particular\, I will introduce a deformation of the matrix mo
del which allows us to solve it at large-N. The deformation has interesti
ng relations with the Bloch-Wigner dilogarithm\, a function introduced by
number theorists. \n\nFinally\, using techniques from representation theo
ry\, I will show that the finite-N index actually interpolates between cou
nting multi-gravitons at small charge and BHs at large charge. \n\nhttps:
//indico.cern.ch/event/908328/
LOCATION:CERN Zoom only
URL:https://indico.cern.ch/event/908328/
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