Dynamical emergence of extra dimensions and warped geometries

TL;DR

This paper demonstrates how four-dimensional gauge theories can dynamically produce five-dimensional warped geometries, with some models being exactly solvable and related to supersymmetric brane configurations.

Contribution

It introduces a novel framework where 4D gauge theories generate emergent 5D warped spaces, including solvable models and connections to supersymmetric D3-brane setups.

Findings

Certain gauge theories produce effective 5D warped geometries.

Exactly solvable examples of emergent extra dimensions.

A link between polygonal models with Z_N symmetry and supersymmetric D3-branes.

Abstract

We present four-dimensional gauge theories in Minkowski spacetime which effectively generate in certain energy regimes five-dimensional warped geometries whereas, in general, the fifth dimension is latticized. After discussing in detail several general aspects in such theories we present a number of exactly solvable examples. We also point out how a particular case, defined in an N-sided polygon and having a Z_N symmetry, has a similar realization in an appropriate supersymmetric setting with D3-branes.