Advances in Theoretical and Mathematical Physics

Matrix theory star products from the Born–Infeld action

$D$-brane physics and noncommutative Yang–Mills theory

$1+1$ dimensional NCOS and its $U(N)$ gauge theory dual

Twist positivity for Lagrangian symmetries

Local mirror symmetry and type IIA monodromy of Calabi–Yau manifolds

M5-branes, special Lagrangian submanifolds and $\sigma$-models

String partition functions and infinite products

Invariance theorems for supersymmetric Yang–Mills theories