Evolution of the D3-brane for dynamical embeddings
Pawel Gusin, Jerzy Warczewski
TL;DR
This paper studies the evolution of D3-branes within dynamical embeddings using the Dirac-Born-Infeld action, revealing contracting and expanding space solutions under specific constraints.
Contribution
It introduces a new analysis of D3-brane evolution considering gauge fields and special transverse coordinate constraints, expanding understanding of brane dynamics.
Findings
Identified solutions for contracting and expanding spaces
Analyzed the evolution of branes and ambient space
Provided conditions for specific space behaviors
Abstract
The Dirac-Born-Infeld (DBI) action of the 3-dimensional brane for its dynamical embeddings and the gauge fields has been studied. The evolution of both the D3-brane and the ambient space has been obtained. For the special constraint put on the transverse coordinates a family of the contracting and expanding spaces has been found.
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