Probe branes dynamics: exact solutions in general backgrounds

Abstract

We consider probe p-branes and Dp-branes dynamics in D-dimensional string theory backgrounds of general type. Unified description for the tensile and tensionless branes is used. We obtain exact solutions of their equations of motion and constraints in static gauge as well as in more general gauges. Their dynamics in the whole space-time is also analyzed and exact solutions are found.

Branonium

“…In the above background let us now follow the motion of another single parallel p-brane, displaced from the original N by the radial coordinate-distance r (for a related discussion see [14]). This motion is described by the brane action, which can be decomposed as the sum of two pieces: the Born-Infeld (BI) and the Wess-Zumino (WZ) parts.…”

M2-brane solutions inAdS7×S4

“…as shown in [6]. We choose to work with the action (3.1), because it possesses the following advantages.…”

“…6 Initially, the background fields g M N (x) and b M N P (x) are restricted only by the conditions (3.7).…”

2D Heisenberg model from rotating membrane

“…It is, however, easier for the purpose of calculation and suitable for taking the tensionless limit. To be specific, we adopt a Polyakov type action proposed for general p-branes [15]:…”