Toroidal AdS Charged Branes and Toda Equations

Sangheon Yun
Arxiv ID: 0910.2820Last updated: 9/8/2020
In this note, we consider the equations of motion for charged branes in AdS space and show that they can be cast into one-dimensional coupled Toda type. Then we solve the equations of motion to construct static charged AdS brane solutions which are invariant under translation along $p$ directions and have toroidal symmetry. The solutions are described by mass, charges and a dilaton coupling constant.

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