Events
Exceptional Seminar: Lorenzo De Lillo (Turin)
Centre for Theoretical Physics and AstronomyTitle: N=2 Universality at strong coupling
Abstract: We present a detailed analysis of integrated correlators for an N = 2 superconformal field theory on a squashed sphere with SU(N) gauge group and fundamental/anti-symmetric matter. Employing the matrix model arising from supersymmetric localisation, we compute derivatives of the partition function Z with respect to the fundamental mass (µ), the anti-symmetric mass (m) and the squashing parameter (b), corresponding to integrated insertions of the N = 2 flavour-current and stress-tensor multiplets, which are holographically dual to gluon and graviton scatterings in the presence of D7-branes. For correlators dual to only graviton scatterings, we confirm the planar-limit equivalence with N = 4 SYM. Our main result is a remarkable universality for the mixed gluon-graviton scattering amplitudes off D7-branes, obtained from ∂ 2 µ∂ 2 m log Z and ∂ 2 µ∂ 2 b log Z. We show that the leading and sub-leading large-N contributions in the strong-coupling regime are governed by universal asymptotic series, identical to those found for integrated giant-graviton correlators in N = 4 SYM. We also propose an SL(2, Z)-invariant completion of these results in terms of non-holomorphic Eisenstein series.
Updated by: Kymani Armstrong-Williams

