Non-perturbative formulation of superstring by the non-commutative geometric approach.

格点上的超对称规范理论（加藤）：为了理解超对称规范理论的非微扰方面，我们试图在格点上建立系统，这是一个长期存在但困难的问题。我们已经成功地建立了一个理论，它具有一定的费米子对称性，其超对称性部分在连续极限中仍然存在。超膜和矩阵弦理论（米谷）：我们已经证明了在紧致M理论中取无限动量框架得到的零维矩阵理论和在第十一方向上缠绕膜得到的矩阵弦理论之间的等价性。这将提示如何在M理论的矩阵表述中实现11维洛伦兹不变性。

Supersymmetric gauge theory on a lattice (Kato): In order to understand non-perturbative aspects of the supersymmetric gauge theory, we tried to formulate the system on a lattice, which has been a long-standing but difficult problem. We have succeeded to construct a theory that has a certain fermionic symmetry whose supersymmetry part survives in the continuum limit. It gives us a hope that the full supersymmetry can be formulated on a lattice.Supermembrane and matrix string theory (Yoneya): We have shown the a certain equivalence between the zero-dimensional matrix theory obtained by taking a infinite momentum frame in the compactified M-theory and the matrinx string theory obtained by wrapping the membrane around eleventh direction. This will suggest how the eleven-dimensional Lorentz invariance can be realized in the matrix formulation of M-theory.