Fundamental branes and shock waves

Abstract

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.

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

References in corpus (3)

• Gravitational Shock Waves and Their Scattering in Brane-Induced Gravity
• Brane-Induced Gravity's Shocks
• Ultrarelativistic boost of the black ring

Cited by in corpus (8)

• Families of IIB duals for nonrelativistic CFTs
• Time-dependent AdS/CFT Duality and Null Singularity
• Time-dependent Solutions with Null Killing Spinor in M-theory and Superstrings
• Gauge Theory Duals of Cosmological Backgrounds and their Energy Momentum Tensors
• Supersymmteric Null-like Holographic Cosmologies
• Universal time-dependent deformations of Schrodinger geometry
• One-Loop Effect of Null-Like Cosmology's Holographic Dual Super-Yang-Mills
• Riemann curvature of a boosted spacetime geometry