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Abstract |
This talk will present the exact expression for an integrated correlator of four superconformal primary
operators in the stress tensor multiplet of SU(N) N = 4 supersymmetric Yang-Mills, based on the localised
partition function of the N = 2∗ theory. I will show that this integrated correlator can be expressed as
a strikingly simple two-dimensional lattice sum. This is a function of the complex Yang–Mills coupling,
and is manifestly invariant under SL(2, Z) (Montonen–Olive) duality. The correlator
satisfies a powerful Laplace equation that relates its value for SU(N) to its value for SU(N−1) and SU(N+1).
For finite N the correlator reproduces and extends perturbative and non-perturbative N = 4 SYM results.
The large-N expansion is holographically related to the SL(2, Z)-invariant low energy expansion of the type
IIB superstring four-graviton amplitude in AdS5 × S5. The talk will also describe the extension of of these
results to n-point correlators with n > 4 that violate the U(1) bonus symmetry maximally. |
