A review about Invariance Induced Gravity: Gravity and Spin from Local Conformal-Affine Symmetry

TL;DR

This review explores how gravity and spin emerge from local conformal-affine symmetry, emphasizing gravity as a gauge theory derived from local invariance principles.

Contribution

It provides a comprehensive overview of deriving gravity and spin from the local conformal-affine symmetry group, highlighting the gauge theory perspective.

Findings

Gravity can be formulated as a gauge theory from local conformal-affine symmetry.

Spin and gravitation are unified through this symmetry framework.

The approach extends the Poincaré gauge theory to include conformal and affine transformations.

Abstract

In this review paper, we discuss how gravity and spin can be obtained as the realization of the local Conformal-Affine group of symmetry transformations. In particular, we show how gravitation is a gauge theory which can be obtained starting from local invariance as the Poincar\'{e} local symmetry.