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Free totally (anti)symmetric massless fermionic fields in d-dimensional anti-de Sitter space

R R Metsaev

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LETTER TO THE EDITOR

Free massless fermionic fields of arbitrary spins s>0 corresponding to totally (anti)symmetric tensor - spinor representations of the SO(d-1) compact subgroup and in d-dimensional anti-de Sitter space are investigated. We propose the free equations of motion, subsidiary conditions and corresponding gauge transformations for such fields. The equations obtained are used to derive the lowest energy values for the above-mentioned representations. A new representation for equations of motion and gauge transformations in terms of generators of the anti-de Sitter group SO(d-1,2) is found. It is demonstrated that in contrast to the symmetric case the gauge parameter of the antisymmetric massless field is also a massless field.


PACS

04.50.-h Higher-dimensional gravity and other theories of gravity

04.65.+e Supergravity

11.15.-q Gauge field theories

04.25.-g Approximation methods; equations of motion

MSC

81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)

83E50 Supergravity

83C10 Equations of motion

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 5 (May 1997)

Received 4 March 1997



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