We study the question of the Ward identity for “large” gauge invariance in 0+1 dimensional theories. We derive the relevant Ward identities for a single flavor fermion and a single flavor complex scalar field interacting with an Abelian gauge field. These identities are nonlinear. The Ward identity for any other complicated theory can be derived from these basic sets of identities. However, the...

We derive the master function governing the component action of the four-dimensional non-anticommutative (NAC) and fully N=2 supersymmetric gauge field theory with a non-simple gauge group U(2) = SU(2) × U(1). We use a Lorentz-singlet NACdeformation parameter and an N=2 supersymmetric star (Moyal) product, which do not break any of the fundamental symmetries of the undeformed N=2 gauge theory. ...

We consider non-supersymmetric large N orientifold field theories. Specifically, we discuss a gauge theory with a Dirac fermion in the anti-symmetric tensor representation. We argue that, at large N and in a large part of its bosonic sector, this theory is non-perturbatively equivalent to N = 1 SYM, so that exact results established in the latter (parent) theory also hold in the daughter orient...

We show that N = 1 supergravity with a cosmological constant can be expressed as constrained topological field theory based on the supergroup Osp(1|4). The theory is then extended to include timelike boundaries with finite spatial area. Consistent boundary conditions are found which induce a boundary theory based on a supersymmetric Chern-Simons theory. The boundary state space is constructed f...

The Hilbert spaces of supersymmetric systems admit symmetries which are often related to the topology and geometry of the (target) field-space. Here, we study certain (2,2)-supersymmetric systems in 2dimensional spacetime which are closely related to superstring models. They all turn out to posess some hitherto unexploidted and geometrically and topologically unobstructed symmetries, providing ...

We study Witten’s open string field theory in the presence of a constant B field. We construct the string field theory in the operator formalism and find that, compared to the ordinary theory with no B field, the vertices in the resulting theory has an additional factor. The factor makes the zero modes of strings noncommutative. This is in agreement with the results in the first-quantized formu...