학술논문
Waves on Mazes
Document Type
Working Paper
Source
Subject
Language
Abstract
One way to describe the entropy of black holes comes from partitioning momentum charge across fractionated intersecting brane systems. Here we construct $\frac{1}{8}$-BPS solutions by adding momentum to a maze of M2-brane strips stretched between M5 branes. Before the addition of momentum, the $\frac{1}{4}$-BPS supergravity solution describing the maze is governed by a master function obeying a complicated Monge-Amp\`ere equation. Given such a solution, we show that one can add momentum waves without modifying the $\frac{1}{4}$-BPS M2-M5 background. Remarkably, these excitations are fully determined by a layered set of $\textit{linear}$ equations. The fields responsible for carrying the momentum are parameterized by arbitrary functions of a null direction, and have exactly the same structure as in brane world-volume constructions. The fact that the momentum and flux excitations of the M2-M5-P system are governed by a linear structure brings us one step closer to using supergravity solutions to capture the entropy of supersymmetric black-holes.
Comment: 24 pages, 1 figure
Comment: 24 pages, 1 figure