We consider a theory in which supersymmetry is partially spontaneously broken and show that the dynamical fields in the same supersymmetric multiplet as the Goldstino are Gold-stone bosons whose corresponding generators are central charges in the underlying super-symmetry algebra. We illustrate how this works for four dimensional Born-Infeld theory and five brane of M theory. We conjecture, wit...

In this paper we explicitly show the equivalence between the non-Abelian Born-Infeld action, which was proposed by Tseytlin as an effective action on several D-branes, and its noncommutative counterpart for slowly varying fields. This confirms the equivalence between the two descriptions of the D-branes using an ordinary gauge theory with a constant B field background and a noncommutative gauge...

The main source of current interest in superextensions of the Born-Infeld (or Dirac-Born-Infeld) action is the fact that these super BI actions constitute an essential part of the worldvolume actions of Dp-branes (see [1] and refs. therein). It is tempting to formulate super BI actions in a manifestly supersymmetric way using an off-shell superfield approach. In this approach the worldvolume SU...

The SU(2) collective coordinates expansion of the Born-Infeld Skyrmion Lagrangian is performed. The classical Hamiltonian is computed from this special Lagrangian in approximative way: it is derived from the expansion of this non-polynomial Lagrangian up to secondorder variable in the collective coordinates. This second-class constrained model is quantized by Dirac Hamiltonian method and symple...

We calculate one-loop corrections to the e ective Lagrangian for the D3 brane. We perform the gaugexing of the -symmetric Born-Infeld D3 brane action in the at background using Killing gauge. The linearized supersymmetry of the gaugexed action coincides with that of the N = 4 Yang-Mills theory. We use the helicity amplitude and unitarity technique to calculate the one-loop amplitudes at order ....

We present some obvious physical requirements on gravitational avatars of non-linear elec-trodynamics and illustrate them with explicit determinantal Born–Infeld–Einstein models. A related procedure, using compensating Weyl scalars, permits us to formulate conformally invariant versions of these systems as well. Born–Infeld (BI) electrodynamics [1] has earned its longevity through its elegant, ...

We construct regular and black hole solutions in SU(2) Einstein-Born-Infeld theory. These solutions have many features in common with the corresponding SU(2) Einstein-Yang-Mills solutions. In particular, sequences of neutral nonabelian solutions tend to magnetically charged limiting solutions, related to embedded abelian solutions. Thermodynamic properties of the black hole solutions are addres...

Properties of the Dirac-Born-Infeld Lagrangian analogous to those of the Nambu-Goto String are analysed. In particular the Lagrangian is shown to be constant or zero on the space of solutions of the equations of motion if the Lagrangian is taken to any power other than 1 2 . ∗e-mail: [email protected] 1