Lagrangian formulation of massive fermionic higher spin fields on a constant electromagnetic background

Article, Preprint English OPEN
Buchbinder, I. L. ; Krykhtin, V. A. ; Tsulaia, M. (2015)
  • Publisher: Elsevier
  • Journal: volume 896, pages 1-18 (issn: 0550-3213, eissn: 1873-1562)
  • Related identifiers: doi: 10.1016/j.nuclphysb.2015.04.008
  • Subject: QC770-798 | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | Nuclear and High Energy Physics
    arxiv: High Energy Physics::Theory | High Energy Physics::Lattice

We consider massive half-integer higher spin fields coupled to an external constant electromagnetic field in flat space of an arbitrary dimension and construct a gauge invariant Lagrangian in the linear approximation in the external field. A procedure for finding the gauge-invariant Lagrangians is based on the BRST construction where no off-shell constraints on the fields and on the gauge parameters are imposed from the very beginning. As an example of the general procedure, we derive a gauge invariant Lagrangian for a massive fermionic field with spin 3/2 which contains a set of auxiliary fields and gauge symmetries.
  • References (61)
    61 references, page 1 of 7

    [1] M.A. Vasiliev, Higher spin gauge theories: star product and AdS space, in: M.A. Shifman (Ed.), The Many Faces of the Superworld, pp. 533-610 arXiv:hep-th/9910096.

    [2] M.A. Vasiliev, Higher spin gauge theories in various dimensions, Fortschr. Phys. 52 (2004) 702; PoS JHW 2003 (2003) 003, arXiv:hep-th/0401177.

    [3] D. Sorokin, Introduction to the classical theory of higher spins, AIP Conf. Proc. 767 (2005) 172, arXiv:hep-th/ 0405069.

    [4] N. Bouatta, G. Compere, A. Sagnotti, An introduction to free higher-spin fields, arXiv:hep-th/0409068.

    [5] X. Bekaert, S. Cnockaert, C. Iazeolla, M.A. Vasiliev, Nonlinear higher spin theories in various dimensions, arXiv:hep-th/0503128.

    [6] A. Fotopoulos, M. Tsulaia, Gauge invariant lagrangians for free and interacting higher spin fields. A review of the BRST formulation, Int. J. Mod. Phys. A 24 (2009) 1, arXiv:0805.1346 [hep-th]; M. Tsulaia, On tensorial spaces and BCFW recursion relations for higher spin fields, Int. J. Mod. Phys. A 27 (2012) 1230011, arXiv:1202.6309 [hep-th].

    [7] A. Campoleoni, Metric-like lagrangian formulations for higher-spin fields of mixed symmetry, Riv. Nuovo Cimento 33 (2010) 123, arXiv:0910.3155 [hep-th].

    [8] X. Bekaert, N. Boulanger, P. Sundell, How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples, Rev. Mod. Phys. 84 (2012) 987, arXiv:1007.0435 [hep-th].

    [9] D. Francia, On the relation between local and geometric lagrangians for higher spins, J. Phys. Conf. Ser. 222 (2010) 012002, arXiv:1001.3854 [hep-th].

    [10] A. Sagnotti, Notes on strings and higher spins, J. Phys. A 46 (2013) 214006, arXiv:1112.4285 [hep-th].

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