Towards a Gravitational Analog to S-duality in Non-abelian Gauge Theories

TL;DR

This paper explores a gravitational analog to S-duality in non-abelian gauge theories, revealing a duality in topological gravitational models that mirrors the inverted coupling duality seen in gauge theories.

Contribution

It demonstrates the existence of a gravitational analog to S-duality in non-abelian gauge theories within a topological gravitational framework.

Findings

Duality involves inverted couplings in topological gravity

Analog to gauge theory duality found in gravitational models

Provides new insights into gauge-gravity dualities

Abstract

For non-abelian non-supersymmetric gauge theories, generic dual theories have been constructed. In these theories the couplings appear inverted. However, they do not possess a Yang-Mills structure but rather are a kind of non-linear sigma model. It is shown that for a topological gravitational model an analog to this duality exists.