Remarks on Weyl invariant p-branes and Dp-branes

TL;DR

This paper discusses a method to derive Weyl invariant actions for p-branes and Dp-branes, clarifying their invariance properties and providing a geometric perspective, with potential extensions to super-p-branes.

Contribution

It introduces a new mechanism for constructing Weyl invariant p-brane and Dp-brane actions and connects these to higher-dimensional gravity-dilaton effective actions.

Findings

Derived Weyl invariant actions for p-branes from gravity-dilaton theories

Provided a geometric interpretation for Weyl invariance in brane systems

Extended considerations to super-p-branes

Abstract

A mechanism to find different Weyl invariant p-branes and Dp-branes actions is explained. Our procedure clarifies the Weyl invariance for such systems. Besides, by considering gravity-dilaton effective action in higher dimensions we also derive a Weyl invariant action for p-branes. We argue that this derivation provides a geometrical scenario for the Weyl invariance of p-branes. Our considerations can be extended to the case of super-p-branes.