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The continuous spin limit of higher spin field equations

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arxiv hep-th/0509092 v2 pith:BTHSHWVW submitted 2005-09-13 hep-th

classification hep-th
keywords equationsspinlimitwignercontinuousfieldhigherrepresentations
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We show that the Wigner equations describing the continuous spin representations can be obtained as a limit of massive higher-spin field equations. The limit involves a suitable scaling of the wave function, the mass going to zero and the spin to infinity with their product being fixed. The result allows to transform the Wigner equations to a gauge invariant Fronsdal-like form. We also give the generalisation of the Wigner equations to higher dimensions with fields belonging to arbitrary representations of the massless little group.

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Cited by 4 Pith papers

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    Solving Poincaré-algebra closure at quartic order yields infinitely many local 4d massless higher-spin theories (finite or infinite spectra), classifies chiral one-/two-derivative models, and determines all local unit...

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  3. Wigner continuous-spin equations in $\mathbf{AdS_D}$: bosonic and fermionic cases

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  4. De Sitter Representations

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