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TRIPLE M-BRANE SOLUTIONS AND SUPERSYMMETRY // Tomsk State Pedagogical University Bulletin. 2012. Issue 13 (128). P. 55-60

We study composite M-brane solutions in 11-dimensional supergravity. The supersymmetric solutions describing orthogonally intersecting M-branes are dened on the product of Ricci-at manifoldsMi. The amount of preserved supersymmetries depends upon certain numbers of (chiral) parallel spinors on factor spaces Mi and brane sign factors. Three examples of triple M-brane con urations are considered and the numbers of unbroken SUSY are obtained.

Keywords: M-branes, parallel spinors, supergravity, supersymmetry

SHOCK WAVES IN LIFSHITZ-LIKE BACKGROUNDS AND HOLOGRAPHIC DESCRIPTION OF QGP // Tomsk State Pedagogical University Bulletin. 2014. Issue 12 (153). P. 94-99

A holographic duality between gravitation and field theories with a Lifshitz scaling symmetry has recently aroused much attention. We consider Lifshitz-like backgrounds in the context of their applications to the anisotropic quark-gluon plasma created in heavy-ion collisions. We construct shock waves geometries for Lifshitz-like metrics1. For the geometry of two colliding Lifshitz domain walls the areas of trapped surfaces are calculated. According to the holographic approach, the multiplicity of particles produced in heavy-ion collisions can be estimated by the area of the trapped surface. We show that in the 5-dimensional case the dependence of multiplicity on the energy of colliding ions can fit the experimental data observed at RHIC and LHC.

Keywords: Lifshitz-like metrics, shock waves, trapped surface, holography, quark-gluon plasma