ADM worldvolume geometry

ar X iv : h ep - t h / 00 04 03 1 v 1 5 A pr 2 00 0 1 ADM Worldvolume Geometry

We describe the dynamics of a relativistic extended object in terms of the geometry of a configuration of constant time. This involves an adaptation of the ADM formulation of canonical general relativity. We apply the formalism to the hamiltonian formulation of a Dirac-Nambu-Goto [DNG] relativistic extended object in an arbitrary background spacetime. The mechanics of relativistic extended obje...

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Supersymmetric Worldvolume Solitons

The general criteria for finding bosonic supersymmetric worldvolume solitons is reviewed. We concentrate on D-branes, discussing in particular, bion/dyon solutions and D3 branes on NS5 backgrounds. Introduction. Brane effective actions constitute a relativistic extension of supersymmetric field theories, in the sense that the energy density functional E satisfies E2 = f(φi), which upon linearis...

Membrane Worldvolume Superalgebra

In arXiv:0806.0363 the worldvolume superalgebra of the N = 8 Bagger-Lambert theory was calculated. In this paper we derive the general form for the worldvolume superalgebra of the N = 6 Bagger-Lambert theory. For a particular choice of three-algebra we derive the superalgebra of the ABJM theory. We interpret the associated central charges in terms of BPS brane configurations. In particular we f...

Bps Bounds for Worldvolume Branes

The worldvolume field equations of M-branes and D-branes are known to admit pbrane soliton solutions. These solitons are shown to saturate a BPS-type bound on their p-volume tensions, which are expressed in terms of central charges that are expected to appear in the worldvolume supertranslation algebra. The cases we consider include vortices, ‘BIons’, instantons and dyons (both abelian and non-...