Born-Infeld particles and Dirichlet p-branes

Abstract

Born-Infeld theory admits finite energy point particle solutions with δ-function sources, BIons. I discuss their role in the theory of Dirichlet p-branes as the ends of strings intersecting the brane when the effects of gravity are ignored. There are also topologically non-trivial electrically neutral catenoidal solutions looking like two p-branes joined by a throat. The general solution is a non-singular deformation of the catenoid if the charge is not too large and a singular deformation of the BIon solution for charges above that limit. The intermediate solution is BPS and Coulomblike. Performing a duality rotation we obtain monopole solutions, the BPS limit being a solution of the abelian Bogolmol'nyi equations. The situation closely resembles that of sub and super extreme black-brane solutions of the supergravity theories. I also show that certain special Lagrangian submanifolds of C p , p = 3, 4, 5, may be regarded as supersymmetric configurations consisting of p-branes at angles joined by throats which are the sources of global monopoles. Vortex solutions are also exhibited.

Shock waves as branes with throats

“…It has interesting applications, such as scattering in the context of classicalization and dynamically evolving branes in higher-dimensional cosmology. Another possibility is to extend the solution to the multi-throat case along the lines of [13,18].…”

“…We are interested mainly in the solutions for λ > 0, which display square-root singularities at r th = (λc 2 ) 1/(2d−2) . Folllowing [13] we can join smoothly the two branches of eq. (2.9) with opposite signs, in order to create a continuous double-valued function of r that extends from infinite r to r th and back out to infinity.…”

“…In this context, our solution can be used in order to construct a time-dependent generalization of the static catenoidal configuration of Callan, Maldacena [12] and Gibbons [13]. In this work we consider only the case with vanishing gauge fields.…”

Electrified fluctuations in D1⊥D3 and D1⊥D5 systems

“…From the point of view of D3 brane description the configuration is described by a monopole on its world volume. We use the abelian BI action and one excited transverse scalar in dyonic case to give the bion solution [2,17]. The system is described by the following action…”

“…We consider small R which is given by (17) in the second section. We insert its expression in the last equation and the equation of motion becomes…”