A class of correlation functions of half-BPS composite operators are computed exactly (at finite N) in the zero coupling limit of N = 4 SYM theory. These have a simple dependence on theâ€¦ (More)

We interpret instantons on a torus with twisted boundary conditions, in terms of bound states of branes. The interplay between the SU (N) and U (1) parts of the U (N) theory of N 4-branes allows theâ€¦ (More)

We formulate simple graphical rules which allow explicit calculation of nonperturbative c = 1 S-matrices. This allows us to investigate the constraint of nonperturbative unitarity, which indeed rulesâ€¦ (More)

The moduli space of 0-branes on T 4 gives a prediction for the moduli space of torons in U (n) Super Yang Mills theory which preserve 16 supersymmetries. The zero brane number corresponds to theâ€¦ (More)

We construct spherical harmonics for fuzzy spheres of even and odd dimensions, generalizing the correspondence between finite matrix algebras and fuzzy two-spheres. The finite matrix algebrasâ€¦ (More)

Matrix descriptions of even dimensional fuzzy spherical branes S in Matrix Theory and other contexts in Type II superstring theory reveal, in the large N limit, higher dimensional geometriesâ€¦ (More)

We present a complete basis of multi-trace multi-matrix operators that has a diagonal two point function for the free matrix field theory at finite N . This generalises to multiple matrices theâ€¦ (More)

A collapsing spherical D2-brane carrying magnetic flux can be described in the region of small radius in a dual zero-brane picture using the Myers proposal for a non-Abelian Dirac-Born-Infeld actionâ€¦ (More)

We study SO(m) covariant Matrix realizations of âˆ‘m i=1 X 2 i = 1 for even m as candidate fuzzy odd spheres following hep-th/0101001. As for the fuzzy four sphere, these Matrix algebras contain moreâ€¦ (More)

A class of exact non-renormalized extremal correlators of half-BPS operators in N = 4 SYM, with U (N) gauge group, is shown to satisfy finite factorization equations reminiscent of topological gaugeâ€¦ (More)