In this introductory review we discuss dynamical tests of the AdS 5× S 5 string/\mathcalN=4
Super Yang-Mills duality. After a brief introduction to AdS/CFT, we argue that semiclassical …

This article reviews the plane-wave/super Yang-Mills duality, which states that strings on a
plane-wave background are dual to a particular large R-charge sector of N= 4, D= 4 …

Possible short and semi-short representations for N= 2 and N= 4 superconformal symmetry
in four dimensions are discussed. For N= 4 the well known short supermultiplets whose …

The complete one-loop, planar dilatation operator of the N= 4 superconformal gauge theory
was recently derived and shown to be integrable. Here, we present further compelling …

We investigate whether the (planar, two complex scalar) dilatation operator of Script N= 4
gauge theory can be, perturbatively and, perhaps, non-perturbatively, described by an …

We study theories with 16 supercharges and a discrete energy spectrum. One class of
theories has symmetry group SU (2| 4). They arise as truncations of N= 4 super Yang-Mills …

We revisit the Berenstein-Maldacena-Nastase (BMN) conjecture relating M-theory on a PP-
wave background and Matrix Quantum Mechanics (MQM) of $ N\times N $ matrices. In …

M-theory on the maximally supersymmetric plane wave background of eleven-dimensional
supergravity admits spherical BPS transverse M5-branes with zero light-cone energy. We …

We conjecture that the discrete light-cone quantization (DLCQ) of strings on the maximally
supersymmetric type IIB plane-wave background in the sector with J units of light-cone …

In this paper we study the conjectured dual operators to a near maximal giant graviton and
their open string fluctuations in the large N limit. Using matrix model estimates we show that …