New Born-Infeld and $Dp$-Brane Actions under 2-Metric and 3-Metric Prescriptions

TL;DR

This paper systematically derives new Born-Infeld and Dp-brane actions using the parent action method, exploring 2-metric and novel 3-metric prescriptions, and uncovers a new double Weyl invariance symmetry.

Contribution

It introduces a systematic approach to derive new Born-Infeld and Dp-brane actions with 2-metric and 3-metric prescriptions, revealing a new double Weyl invariance symmetry.

Findings

Derived new forms of Born-Infeld and Dp-brane actions.

Identified a new double Weyl invariance symmetry.

Analyzed properties like duality, permutation, and Weyl invariance.

Abstract

The parent action method is utilized to the Born-Infeld and $Dp$-brane theories. Various new forms of Born-Infeld and $Dp$-brane actions are derived by using this systematic approach, in which both the already known 2-metric and newly proposed 3-metric prescriptions are considered. An auxiliary worldvolume tensor field, denoted by ${\omega}_{{\mu}{\nu}}$, is introduced and treated probably as an additional worldvolume metric because it plays a similar role to that of the auxiliary worldvolume (also called {\em intrinsic}) metric ${\gamma}_{{\mu}{\nu}}$. Some properties, such as duality, permutation and Weyl invariance as a local worldvolume symmetry of the new forms are analyzed. In particular, a new symmetry, i.e. the double Weyl invariance is discovered in 3-metric forms.