The supersymmetric version of a topological quantum field theory describing flat connections, the super BF-theory, is studied in the superspace formalism. A set of observables related to topological invariants is derived from the curvature of the superspace. Analogously to the non-supersymmetric versions, we find that the theory exhibits a vector-like supersymmetry. The role of the vector super...

By dimensional reduction of a massive supersymmetric B∧F theory, a manifestly N = 1 supersymmetric completion of a massive antisymmetric tensor gauge theory is constructed in (2+1) dimensions. In the N = 1−D = 3 superspace, a new topological term is used to give mass for the Kalb-Ramond field. We have introduced a massive gauge invariant model using the Stückelberg formalism and an abelian topo...

I review aspects of string theory on plane wave backgrounds emphasising the connection to gauge theory given by the BMN correspondence. Topics covered include the Penrose limit and its role in deriving the BMN duality from AdS/CFT, light-cone string field theory in the maximally supersymmetric plane wave and extensions of the correspondence to less supersymmetric backgrounds. Based on the autho...

A supersymmetric mean-field approach to the infinite-U Hubbard model Abstract A generalized supersymmetric representation of the Hubbard operator algebra is considered. This representation is applied to the infinite-U Hub-bard model. A mean-field theory which takes into account both on-site and inter-site virtual boson-fermion transitions is developed. Unlike previous approaches , the mean-fiel...

We review the basic results concerning the structure of effective action in N = 4 supersymmetric Yang-Mills theory in Coulomb phase. Various classical formulations of this theory are considered. We show that the low-energy effective action depending on all fileds of N = 4 vector multiplet can be exactly found. This result is discussed on the base of algebraic analysis exploring the general harm...

We consider field theory on non-commutative superspace and non-commutative spacetime that arises on D-branes in Type II superstring theory in constant self-dual graviphoton and NS-NS B field background. N = 1 supersymmetric field theories on this noncommutative space ( these theories are called N = 1/2 supersymmetric theory ) can be reduced to supermatrix models as in hep-th/0303210 [1]. We tak...

We propose a construction of dual pairs in four dimensional N=1 supersymmetric Yang-Mills theory using branes in type IIA string theory. Supersymmetric gauge theories invariant under eight or sixteen supercharges (e.g. N=2 and N=4 supersymmetric Yang-Mills theories in four dimensions, respectively) have been intensively studied in the last few years. Many of the diverse strong coupling phenomen...

We construct partially localized supergravity counterpart solutions to the 1/2 supersymmetric non-threshold and the 1/4 supersymmetric threshold bound state BI dyons in the D3-brane Dirac-Born-Infeld theory. Such supergravity solutions have all the parameters of the BI dyons. By applying the IIA/IIB T -duality transformations to these supergravity solutions, we obtain the supergravity counterpa...

We derive model independent, non-perturbative supersymmetric sum rules for the gravitational quadrupole moments of arbitrary-spin particles in any N = 1 supersymmetric theory. These sum rules select a “preferred” value of h = 1 where the “h-factor” is the gravitational quadrupole analog of the gyromagnetic ratio or g-factor. This value of h = 1 corresponds identically to the preferred field the...

We construct partially localized supergravity counterpart solutions to the 1/2 supersymmetric nonthreshold and the 1/4 supersymmetric threshold bound state BI dyons in the D3-brane Dirac-Born-Infeld theory. Such supergravity solutions have all the parameters of the BI dyons. By applying the type-IIA–type-IIB T-duality transformations to these supergravity solutions, we obtain the supergravity c...