David Berenstein

Strings in flat space and pp waves from N = 4 Super Yang Mills

We explain how the string spectrum in flat space and pp‐waves arises from the large N limit, at fixed gYM2, of U(N) N = 4 super Yang Mills. We reproduce the spectrum by summing a subset of the planar Feynman diagrams. We give a heuristic argument for why we can neglect other diagrams.

Strings in flat space and pp waves from Script N = 4 Super Yang Mills

We explain how the string spectrum in flat space and pp-waves arises from the large

A toy model for the AdS/CFT correspondence

N

The Operator product expansion for Wilson loops and surfaces in the large N limit

limit, at fixed

Deformations of N=4 SYM and integrable spin chain models

g^2_{YM}

Baryon Spectra and AdS/CFT Correspondence

, of U(N)

Three-dimensional N = 6 superconformal field theories and their membrane dynamics

{\cal N} =4

Marginal and relevant deformations of N=4 field theories and non-commutative moduli spaces of vacua

super Yang Mills. We reproduce the spectrum by summing a subset of the planar Feynman diagrams. We give a heuristic argument for why we can neglect other diagrams. We also discuss some other aspects of pp-waves and we present a matrix model associated to the DLCQ description of the maximally supersymmetric eleven dimensional pp-waves.

Supersymmetry Breaking from a Calabi-Yau Singularity

We study the large-N gauged quantum mecchanics for a single hermitean matrix in the Harmonic oscillator potential well as a toy model for the AdS/CFT correspondence. We argue that the dual geometry should be a string in two dimensions with a curvature of stringy size. Even though the dual geometry is not weakly curved, one can still gain knowledge of the system from a detailed study of the open-closed string duality. We give a mapping between the basis of states made of traces (closed strings) and the eigenvalues of the matrix (D-brane picture) in terms of Schur polynomials. This is interpreted as an exact open-closed duality. We connect this model with a decoupling limit of = 4 SYM and the study of giant gravitons in AdS5 ? S5. We show that the two giant gravitons that expand along AdS5 and S5 can be interpreted in the matrix model as taking an eigenvalue from the Fermi sea and exciting it very much, or as making a hole in the Fermi sea respectively. This is similar to recent studies of the c = 1 string. This connection gives new insight on how to perform calculations for giant gravitons.

Standard model on a D-brane

The operator product expansion for {open_quotes}small{close_quotes} Wilson loops in N=4, d=4 SYM theory is studied. The OPE coefficients are calculated in the large {ital N} and g{sub YM}{sup 2}N limit by exploiting the AdS-CFT correspondence. We also consider Wilson surfaces in the (0,2), d=6 superconformal theory. In this case, we find that the UV divergent terms include a term proportional to the rigid string action. {copyright} {ital 1999} {ital The American Physical Society}