Soft charges and electric-magnetic duality

A bstract The 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 soft charges and their algebra both at spatial and at null infinity. While the commutator of two el...

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Bibliographic Details
Published in:The journal of high energy physics 2018-08, Vol.2018 (8), p.1-42, Article 102
Main Authors: Hosseinzadeh, V., Seraj, A., Sheikh-Jabbari, M. M.
Format: Article
Language:English
Subjects:
Algebra
Classical and Quantum Gravitation
Current algebra
Duality in Gauge Field Theories
Elementary Particles
Gauge Symmetry
Global Symmetries
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Spontaneous Symmetry Breaking
String Theory
Symmetry
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Summary:A bstract The 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 soft charges and their algebra both at spatial and at null infinity. While the commutator of two electric or two magnetic soft charges vanish, the electric and magnetic soft charges satisfy a complex U(1) current algebra. This current algebra through Sugawara construction yields two U(1) Kac-Moody algebras. We repeat the charge analysis in the electric-magnetic duality-symmetric Maxwell theory and construct the duality-symmetric phase space where the electric and magnetic soft charges generate the respective boundary gauge transformations. We show that the generator of the electric-magnetic duality and the electric and magnetic soft charges form infinite copies of iso (2) algebra. Moreover, we study the algebra of charges associated with the global Poincaré symmetry of the background Minkowski spacetime and the soft charges. We discuss physical meaning and implication of our charges and their algebra.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP08(2018)102