Gauge/Cosmology Brane-to-Brane Duality

TL;DR

This paper establishes a duality between a cosmological brane with matter and a holographic brane with gauge fields in a 5D AdS space, linking cosmic acceleration to gauge theory anomalies.

Contribution

It introduces a novel brane-to-brane duality connecting cosmological dynamics with gauge theory holography in a 5D framework.

Findings

Derived an explicit time-dependent holographic correspondence.

Linked cosmic acceleration to the conformal anomaly.

Provided a microscopic interpretation of e-foldings.

Abstract

We introduce a duality relation between two distinct branes, a cosmological brane with macroscopic matter and a holographic brane with microscopic gauge fields. Using brane-world cosmology with a single brane in a 5-dimensional AdS5 background, we find an explicit time-dependent holographic correspondence between the bulk metric surrounding the cosmological brane and the N=4 gauge field theory living on the boundary of the Z2-symmetric mirror bulk, identified with the holographic brane. We then relate the cosmic acceleration on the cosmological brane to the conformal anomaly of the gauge theory on the holographic brane. This leads to a dual microscopic interpretation of the number of e-foldings of the cosmological eras on the cosmological brane.