We define U (n) gauge theory on fuzzy S 2 N× S 2 N as a multi-matrix model, which reduces
to ordinary Yang-Mills theory on S 2× S 2 in the commutative limit N→∞. The model can be …

We construct explicit Bogomolnyi, Prasad, Sommerfeld (BPS) and non-BPS solutions of the
Yang-Mills equations on the noncommutative space R θ 2 n× S 2 which have manifest …

We consider equivariant dimensional reduction of Yang-Mills theory on Kähler manifolds of
the form M× Bbb CP 1× Bbb CP 1. This induces a rank two quiver gauge theory on M which …

We extend the analysis of hep-th/0408069 on a Lorentz invariant interpretation of
noncommutative spacetime to field theories on non-anticommutative superspace with half …

We completely realize the ADHM construction of instantons in D-brane language of tachyon
condensations. Every step of the construction is given a physical interpretation in string …

In this thesis, we report on different aspects of integrability in supersymmetric gauge
theories. The main tool of investigation is twistor geometry. In trying to be self-contained, we …

We construct two matrix models from twistor string theory: one by dimensional reduction onto
a rational curve and another one by introducing noncommutative coordinates on the fibres of …

We review recent developments of soliton theories and integrable systems on non-
commutative spaces. The former part is a brief review of noncommutative gauge theories …

We study systems of D3 and D (-1) branes in a NS-NS magnetic background and show that,
when the brane configuration is stable, the physical degrees of freedom of the open strings …

In this thesis, we report on results in non-anticommutative field theory and twistor string
theory, trying to be self-contained. We first review the construction of non-anticommutative …