# Electromagnetic duality and central charge

@article{Freidel2018ElectromagneticDA, title={Electromagnetic duality and central charge}, author={Laurent Freidel and Daniele Pranzetti}, journal={Physical Review D}, year={2018} }

We provide a full realization of the electromagnetic duality at the boundary by extending the phase space of Maxwell's theory through the introduction of edge modes and their conjugate momenta. We show how such extension, which follows from a boundary action, is necessary in order to have well defined canonical generators of the boundary magnetic symmetries. In this way, both electric and magnetic soft modes are encoded in a boundary gauge field and its conjugate dual. This implementation of…

## 21 Citations

Electromagnetic duality and central charge from first order formulation

- Physics
- 2021

In the context of the infrared triangle there have been recent discussions on the existence and the role of dual charges. We present a new viewpoint on dual magnetic charges in p-form theories, and…

Boundary electromagnetic duality from homological edge modes

- MathematicsJournal of High Energy Physics
- 2021

Abstract
Recent years have seen a renewed interest in using ‘edge modes’ to extend the pre-symplectic structure of gauge theory on manifolds with boundaries. Here we further the investigation…

Soft charges and electric-magnetic duality

- Mathematics, PhysicsJournal of High Energy Physics
- 2018

A bstractThe main focus of this work is to study magnetic soft charges of the four dimensional Maxwell theory. Imposing appropriate asymptotic falloff conditions, we compute the electric and magnetic…

Kinematical gravitational charge algebra

- PhysicsPhysical Review D
- 2020

When formulated in terms of connection and coframes, and in the time gauge, the phase space of general relativity consists of a pair of conjugate fields: the flux 2-form and the Ashtekar connection.…

Asymptotic symmetries of Maxwell theory in arbitrary dimensions at spatial infinity

- MathematicsJournal of High Energy Physics
- 2019

Abstract
The asymptotic symmetry analysis of Maxwell theory at spatial infinity of Minkowski space with d ≥ 3 is performed. We revisit the action principle in de Sitter slicing and make it…

Source and response soft charges for Maxwell theory on AdSd

- MathematicsJournal of High Energy Physics
- 2019

Abstract
We study asymptotic symmetries and their associated charges for Maxwell theory on anti de Sitter (AdS) background in any dimension. This is obtained by con- structing a conserved…

Edge modes of gravity. Part II. Corner metric and Lorentz charges

- Physics, Mathematics
- 2020

In this second paper of the series we continue to spell out a new program for quantum gravity, grounded in the notion of corner symmetry algebra and its representations. Here we focus on tetrad…

Dual2+1Dloop quantum gravity on the edge

- PhysicsPhysical Review D
- 2019

We develop a new perspective on the discretization of the phase space structure of gravity in 2+1 dimensions as a piecewise-flat geometry in 2 spatial dimensions. Starting from a subdivision of the…

Extended actions, dynamics of edge modes, and entanglement entropy

- Physics
- 2019

In this work we propose a simple and systematic framework for including edge modes in gauge theories on manifolds with boundaries. We argue that this is necessary in order to achieve the…

F eb 2 01 9 2 + 1 D Loop Quantum Gravity on the Edge

- Physics
- 2019

We develop a new perspective on the discretization of the phase space structure of gravity in 2+1 dimensions as a piecewise-flat geometry in 2 spatial dimensions. Starting from a subdivision of the…

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