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Maxwell-like Lagrangians for higher spins

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Abstract

We show how implementing invariance under divergence-free gauge transformations leads to a remarkably simple Lagrangian description of massless bosons of any spin. Our construction covers both flat and (A)dS backgrounds and extends to tensors of arbitrary mixed-symmetry type. Irreducible and traceless fields produce single-particle actions, while whenever trace constraints can be dispensed with the resulting Lagrangians display the same reducible, multi-particle spectra as those emerging from the tensionless limit of free open-string field theory. For all explored options the corresponding kinetic operators take essentially the same form as in the spin-one, Maxwell case.

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  1. Andrea Campoleoni

    Present address: Université Libre de Bruxelles, ULB-Campus Plaine CP231, B-1050, Brussels, Belgium

Authors and Affiliations

  1. Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, D-14476, Golm, Germany

    Andrea Campoleoni

  2. Centro Studi e Ricerche E. Fermi, Piazza del Viminale 1, I-00184, Roma, Italy

    Dario Francia

  3. Scuola Normale Superiore and INFN, Piazza dei Cavalieri 7, I-56126, Pisa, Italy

    Dario Francia

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Campoleoni, A., Francia, D. Maxwell-like Lagrangians for higher spins. J. High Energ. Phys. 2013, 168 (2013). https://doi.org/10.1007/JHEP03(2013)168

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