Nordita HEP Local Seminars

Alessandro Pini (INFN-Torino), Localization vs holography in some 4d N=2 SCFTs

Europe/Stockholm
Albano 3: 6228 - Mega (22 seats) (Albano Building 3)

Albano 3: 6228 - Mega (22 seats)

Albano Building 3

22
Description

We analyse two distinct 4D N=2 SCFTs. The first theory has gauge group SU(N) and matter in the symmetric plus anti-symmetric representation. The second is a quiver gauge theory obtained with an orbifold projection from N=4 SYM. For both theories we compute the 2-point and 3-point correlation functions among chiral/anti-chiral single trace operators and the corresponding structure constants. In the first part of the seminar, using supersymmetric localization, we map the computation to an interacting matrix model and obtain expressions for the structure constants that are valid for any value of the 't Hooft coupling in the planar limit of the theory. In particular, at strong coupling, these expressions simplify and allow us to extract the leading behaviour in an analytic way. We successfully compare these predictions to a direct Monte Carlo numerical evaluation of the matrix integral and to Padé resummation derived from very long perturbative series. Finally, using the AdS/CFT correspondence, we compute the structure constants from the dual supergravity theory and obtain results that perfectly match the strong-coupling predictions from localization.