IGAP Geometry and Physics seminar 20/04

[Christian]

Dear everyone,

Next *Tuesday April 20th at 14:30* we resume the "Geometry and Physics" 
webinar series. The next seminar will be

Speaker: Daniele Dorigoni (Durham U.)

Title: An exact integrated correlator in \mathcal{N} = 4 SU(N) SYM

Abstract:

Between all the magical properties of \mathcal{N} = 4 SU(N) super 
Yang-Mills perhaps one of the most important is Montonen-Olive 
electric-magnetic SL(2,Z) duality.
In particular this leads to the constraint that observables must be 
invariant under inversion of the complex YM coupling \tau, i.e. under 
\tau -> -1 / \tau.
In this talk we will focus on one such physical quantity, namely an 
integrated correlator of four super-conformal primaries of the 
stress-tensor multiplet.
I will firstly review how this 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 complex YM coupling \tau. Thanks to this 
novel expression we can explore various different regimes: perturbative 
SYM, large-N supergravity approximation, 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−1) correlators.

The meeting will be on Zoom at the following coordinates:

<https://sissa-it.zoom.us/j/85656889691?pwd=dmJMMDAvZXpXSHRPRDVLWW5IUDBadz09> 


https://sissa-it.zoom.us/j/85422195215?pwd=YktPNVBsQWZNbW5HSXNOTDRWVUh6QT09 
<https://sissa-it.zoom.us/j/85422195215?pwd=YktPNVBsQWZNbW5HSXNOTDRWVUh6QT09>

<https://sissa-it.zoom.us/j/85656889691?pwd=dmJMMDAvZXpXSHRPRDVLWW5IUDBadz09>

  or

Meeting ID: 854 2219 5215

Passcode: igapgeophy

See you there,

The Organizers (Francesco Benini, Giulio Bonelli, Christian Copetti, 
Pavel Putrov and Alessandro Tanzini)