Issues of duality in Abelian Gauge Theory and in Linearized Gravity

TL;DR

This paper compares two main duality proposals in Abelian gauge theories and explores their application and potential unification in linearized gravity, highlighting similarities and differences.

Contribution

It provides a detailed analysis of F-duality and S-duality in Abelian gauge theories and extends the discussion to linearized gravity, proposing a combined duality framework.

Findings

F-duality and S-duality are applicable to linearized gravity.

The similarities and differences between the dualities are clarified.

A potential unified duality formalism is discussed.

Abstract

We start by describing two of the main proposals for duality in Abelian gauge theories, namely $F$(ield strength)-duality approach and the $S$% -duality formalism. We then discuss how $F$-duality and $S$-duality can be applied to the case of linearized gravity. By emphasizing the similarities and differences between these two type of dualities we explore the possibility of combining them in just one duality formalism.