# Gravitational Duality Transformations on (A)dS4

## TL;DR

This paper explores how electric-magnetic duality transformations affect four-dimensional gravity with (A)dS backgrounds, focusing on boundary terms and implications for holography, while maintaining the bulk dynamics.

## Contribution

It provides a detailed analysis of duality transformations in (A)dS4 gravity and their impact on boundary terms relevant for holographic theories.

## Key findings

- Duality modifies boundary terms without changing bulk dynamics.
- Hamiltonian is affected by duality in the presence of a cosmological constant.
- Implications for holography are discussed.

## Abstract

We discuss the implementation of electric-magnetic duality transformations in four-dimensional gravity linearized around Minkowski or (A)dS4 backgrounds. In the presence of a cosmological constant duality generically modifies the Hamiltonian, nevertheless the bulk dynamics is unchanged. We pay particular attention to the boundary terms generated by the duality transformations and discuss their implications for holography.