Fundamental branes and shock waves

Details Fundamental branes and shock waves Fundamental branes and shock waves

2005-07-14

arxiv.org/abs/hep-th/0507134v2

Nucl.Phys. B726 (2005) 1-34

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, Latex; v2:Minor changes, version to appear in NPB

Scientific paper

10.1016/j.nuclphysb.2005.08.018

We construct supersymmetric brane solutions in string and M-theory with moduli parameters that depend arbitrarily on the light-cone time. Our investigation aims in understanding time dependent phenomena in gauge theories at strong coupling within the gauge/gravity correspondence. For that reason we use, as a basic ingredient, multicenter supergravity solutions which model the Coulomb branch of the corresponding strongly coupled gauge theories. We introduce the notion of shape invariant motions and show that in a particular limit involving pulse-type motions of finite energy, the solutions represent gravitational shock waves moving on the brane background geometry. We apply the general formalism for D3-branes distributed on a disc and on a sphere as well as for NS5-branes distributed on a ring, all with time varying radii. We examine the problem of open strings attached on moving branes and suggest a mechanism which may be responsible for giving rise at a macroscopic level to gravitational shock waves.

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