In this paper we consider Wittenâ€™s bosonic open string field theory in the presence of a constant background of the second-rank antisymmetric tensor field Bij. We extend the operator formulation ofâ€¦ (More)

Abstract: We construct super Yang-Mills theories with N = 2, 4 supersymmetries on the two-dimensional square lattice keeping one or two supercharges exactly. Along the same line as the previous paperâ€¦ (More)

Built upon the proposal of Kaplan et.al. [hep-lat/0206109], we construct noncommutative lattice gauge theory with manifest supersymmetry. We show that such theory is naturally implementable viaâ€¦ (More)

In this paper, we consider bosonic reduced Yang-Mills integrals by using some approximation schemes, which are a kind of mean field approximation called Gaussian approximation and its improvedâ€¦ (More)

Abstract: We continue to construct lattice super Yang-Mills theories along the line discussed in the previous papers [1, 2]. In our construction of N = 2, 4 theories in four dimensions, the problemâ€¦ (More)

We construct two-dimensional N = (2, 2) lattice super Yang-Mills theory, where the gauge and Higgs fields are all represented by U(N) compact variables, with keeping one exact supercharge along theâ€¦ (More)

Motivated by understanding the phase structure of d > 1 strings we investigate the c = 1 matrix model with g(trM(t)) interaction which is the simplest approximation of the model expected to describeâ€¦ (More)

In this paper we consider IIA and IIB matrix string theories which are defined by twodimensional and three-dimensional super Yang-Mills theory with the maximal supersymmetry, respectively. We exactlyâ€¦ (More)

We analyse supermembrane instantons (fully wrapped supermembranes) by computing the partition function of the three-dimensional supersymmetrical U(N) matrix model under periodic boundary conditions.â€¦ (More)

We construct a class of matrix models, where supersymmetry (SUSY) is spontaneously broken at the matrix size N infinite. The models are obtained by dimensional reduction of matrix-valued SUSY quantumâ€¦ (More)