We discuss the covariant formulation of local field theories described by the Companion Lagrangian associated with p-branes. The covariantisation is shown to be useful for clarifying the geometrical meaning of the field equations and also their relation to the Hamilton-Jacobi formulation of the standard Dirac-Born-Infeld theory.

A Born–Infeld theory describing aD2–brane coupled to a 3–form RR potential is reconsidered in order to investigate the stability of its nonsingular solutions with finite energy. The condition of stability of the solutions is established and the stable solutions and their shape are determined. PACS Numbers:11.10.Lm, 11.27.+d, 05.70.Fh

The three-dimensional static and circularly symmetric solution of the Einstein-BornInfeld-dilaton system is derived. The solutions corresponding to low energy string theory are investigated in detail, which include black hole solutions if the cosmological constant is negative and the mass parameter exceeds a certain critical value. Some differences between the Born-Infeld nonlinear electrodynam...

We present a new form of κ-symmetry transformations for D-branes in which the dependence on the Born-Infeld field strength is expressed as a relative rotation on the leftand right-moving fields with opposite parameters. Then, we apply this result to investigate the supersymmetry preserved by certain intersecting brane configurations at arbitrary angles and with non-vanishing constant Born-Infel...

The boundary state formalism is used to confirm predictions from non-commutativity for the derivative corrections to the Dirac–Born–Infeld and Chern–Simons actions, at all orders in derivatives. As anticipated by S. Mukhi, the method applies by induction to every coupling in the Chern–Simons action. It is also used to derive the corrections to the Dirac–Born–Infeld action at quadratic order in ...

In this work we study the trajectories of test particles in a geometry that is the nonlinear electromagnetic generalization of the ReissnerNordström solution. The studied spacetime is a Einstein-Born-Infeld solution, nonsingular outside a regular event horizon and characterized by three parameters: mass M , charge Q and the Born-Infeld parameter b related to the magnitude of the electric field ...

Born-Infeld strategy to smooth theories having divergent solutions is applied to teleparallel equivalent of General Relativity. Differing from other theories of modified gravity, modified teleparallelism leads to second order equations, since teleparallel Lagrangian only contains first derivatives of the vierbein. We show that Born-Infeld-modified teleparallelism solves the particle horizon pro...

Static spherically symmetric asymptotically flat solutions to the U(1) BornInfeld theory coupled to gravity and to a dilaton are investigated. The dilaton enters in such a way that the theory is SL(2, R)symmetric for a unit value of the dilaton coupling constant. We find globally regular solutions for any value of the effective coupling which is the ratio of the gravitational and dilaton coupli...

The Dirac-Born-Infeld action with transverse scalar fields is considered to study the dynamics of various BPS states. We first describe the characteristic properties of the so-called 1/2 and 1/4 BPS states on the D3 brane, which can be interpreted as F/D-strings ending on a D3-brane in Type IIB string theory picture. We then study the response of the BPS states to low energy excitations of mass...

We conjecture that the Sen–Seiberg limit of the Type IIA D2–brane action in a flat spacetime background can be resummed, at all orders in α′, to define an associative star product on the membrane. This star product can be independently constrained from the equivalent Matrix theory description of the corresponding M2–brane, by carefully analyzing the known BPS conditions. Higher derivative corre...