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Séminaires à venir dans la série RENC-THEO
[ vue agenda ]

Jeudi 20 Janvier 2022, 11:00 à IHP, zoom
( Meeting ID: 975 0712 4810 Passcode: 1234 )
RENC-THEO (Rencontres Théoriciennes) hep-th
Michael Green A Novel Expression for an Integrated Correlator (in N = 4 supersymmetric Yang–Mills theory)
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.

Jeudi 20 Janvier 2022, 14:00 à IHP, zoom
( Meeting ID: 975 0712 4810 Passcode: 1234 )
RENC-THEO (Rencontres Théoriciennes) hep-th
Leonardo Rastelli Carving out the space of gravitational effective field theories
Abstract: I will review recent progress on carving out the space of consistent weakly coupled gravitational effective field theories, both in flat space and in Anti de Sitter space. The main technical tools are dispersive sum rules for the S-matrix (flat space) or for CFT correlators (AdS space), which follow from the general principles of unitarity and causality. Higher derivative couplings are expected to be of order one in the units of the UV cutoff. Our approach justifies this expectation and allows to prove rigorous bounds on the order one coefficients. In particular, we prove a precise version of the conjecture that any large N CFT with a large gap must be dual to a local effective field theory in AdS.

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