A strong coupling expansion for N=4 SYM theory and other SCFT's

TL;DR

This paper explores strong coupling expansions in four-dimensional superconformal field theories, especially N=4 SYM, by matching field theory calculations with their AdS dual geometries, including cases with Sasaki-Einstein manifolds.

Contribution

It provides new methods for matching supergravity spectra with field theory operators in diverse AdS/CFT duals at strong coupling.

Findings

Successful matching of supergravity spectra with field theory operators.

Extension of strong coupling analysis to theories with Sasaki-Einstein duals.

Demonstration of wave function methods in spectrum matching.

Abstract

Recent progress towards understanding a strong coupling expansion for various superconformal field theories in four dimensions is described. First, the case of the maximally supersymmetric Yang Mills theory is analyzed, as well as many calculations that can be done directly at strong coupling and matched to the AdS dual geometry. Also, this understanding is extended to other AdS duals where the sphere is replaced by a Sasaki-Einstein manifold. Particular emphasis is made on matching exactly part of the supergravity dual spectrum of various of these field theories by using wave function methods.