Supersymmetric Field Theory Based on Generalized Uncertainty Principle

We construct a quantum theory of free fermion field based on the generalized uncertainty principle using supersymmetry as a guiding principle. A supersymmetric field theory with a real scalar field and a Majorana fermion field is given explicitly and we also find that the supersymmetry algebra is deformed from an usual one.Comment: 9 page

Quantization of fields based on Generalized Uncertainty Principle

We construct a quantum theory of free scalar field in 1+1 dimensions based on a `Generalized Uncertainty Principle'. Both canonical and path integral formalism are employed. Higher dimensional extension is easily performed in the path integral formalism.Comment: 17pages, 2figure

A configuration of 11-dimensional curved superspace as backgrounds for supermembrane

We calculate all of vielbein superfields up to second order in anticommuting coordinates in terms of the component fields of 11-dimensional on-shell supergravity by using `Gauge completion'. This configuration of superspace holds the $\kappa$-symmetry for supermembrane Lagrangian and represents 11-dimensional on-shell supergravity.Comment: 17 pages, ref. added in version

Note on a fermionic solution of the matrix model and noncommutative superspace

We present a new fermionic solution of the supersymmetric matrix model. The solution satisfies the commutation and anticommutation relations for noncommutative superspace. Therefore the solution can be considered as an implementation of noncommutative superspace on the matrix model.Comment: 9 pages, no figure, version submitted to Phys. Lett.