Chen-Te Ma (National Taiwan University)
Double sigma model with strong constraints is equivalent to the ordinary sigma model by imposing a self-duality relation. The gauge symmetries are the diffeomorphism and one-form gauge transformation with the strong constraints. We combine the antisymmetric background field with the field strength to redefine the generalized metric. We use this generalized metric to construct a consistent double sigma model with boundary conditions. We also give comments to non-commutative geometry in the double sigma model.