Nicolas Boulanger, Paul P. Cook, Josh A. O'Connor, Peter West
SciPost Phys. 18, 149 (2025) ·
published 6 May 2025
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We work out the unfolded formulation of the fields in the non-linear realisation of $E_{11}$. Using the connections in this formalism, we propose, at the linearised level, an infinite number of first-order duality relations between the dual fields in $E_{11}$. In this way, we introduce extra fields that do not belong to $E_{11}$ and we investigate their origin. The equations of motion of the fields are obtained by taking derivatives and higher traces of the duality relations.
SciPost Phys. Lect. Notes 30 (2021) ·
published 14 June 2021
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An extensive group-theoretical treatment of linear relativistic field equations on Minkowski spacetime of arbitrary dimension $D\geqslant 3$ is presented. An exhaustive treatment is performed of the two most important classes of unitary irreducible representations of the Poincar\'e group, corresponding to massive and massless fundamental particles. Covariant field equations are given for each unitary irreducible representation of the Poincar\'e group with non-negative mass-squared.
Prof. Boulanger: "Dear Referee, We thank you..."
in Submissions | report on The unitary representations of the Poincar\'e group in any spacetime dimension