p-Brane Action from Gravi-Dilaton Effective Action

TL;DR

The paper demonstrates that under a specific metric ansatz, the higher-dimensional gravi-dilaton effective action simplifies to a p-brane action, highlighting a dual symmetry that is preserved in the reduction.

Contribution

It provides a direct derivation showing the reduction of the gravi-dilaton effective action to p-brane action using a specific metric ansatz, emphasizing the dual symmetry.

Findings

Reduction of higher-dimensional action to p-brane action

Identification of a dual symmetry in the reduced action

Validation through straightforward computation

Abstract

Using a special ansatz for the metric, by straightforward computation we prove that gravi-dilaton effective action in higher dimensions is reduced to the p-brane action. The dual symmetry of the generic type $%a\longleftrightarrow \frac 1a$ is an important symmetry of the reduced action.