59 research outputs found
Higher-Spin Gauge Interactions for Massive Matter Fields in 3D AdS Space-Time
A remarkable feature of the models with interactions exhibiting higher-spin
(HS) gauge symmetries in is that their most symmetric vacua require
(anti)-de Sitter (AdS) geometry rather than the flat one. In striking
parallelism to what might be expected of M theory HS gauge theories describe
infinite towers of fields of all spins and possess naturally space-time SUSY
and Chan-Paton type inner symmetries. In this paper, we analyze at the level of
the equations of motion the simplest non-trivial HS model which describes HS
gauge interactions (on the top of the usual supergravitational and
(Chern-Simons) Yang-Mills interactions) of massive spin-0 and spin-1/2 matter
fields in d=2+1 AdS space-time. The parameter of mass of the matter fields is
identified with the vev of a certain auxiliary field in the model. The matter
fields are shown to be arranged into d3 N=2 massive hypermultiplets in certain
representations of Yang-Mills gauge groups. Discrete
symmetries of the full system are studied, and the related N=1 supersymmetric
truncations with O(n) and Sp(n) Yang-Mills symmetries are constructed. The
simplicity of the model allows us to elucidate some general properties of the
HS models. In particular, a new result, which can have interesting implications
to the higher-dimensional models, is that our model is shown to admit an
"integrating" flow that proves existence of a non-local B\"acklund-Nicolai-type
mapping to the free system.Comment: LaTeX, 46 pages, no figures; minor corrections, typo
CPT Groups of Spinor Fields in de Sitter and Anti-de Sitter Spaces
groups for spinor fields in de Sitter and anti-de Sitter spaces are
defined in the framework of automorphism groups of Clifford algebras. It is
shown that de Sitter spaces with mutually opposite signatures correspond to
Clifford algebras with different algebraic structure that induces an essential
difference of groups associated with these spaces. groups for
charged particles are considered with respect to phase factors on the various
spinor spaces related with real subalgebras of the simple Clifford algebra over
the complex field (Dirac algebra). It is shown that groups for neutral
particles which admit particle-antiparticle interchange and groups for
truly neutral particles are described within semisimple Clifford algebras with
quaternionic and real division rings, respectively. A difference between
bosonic and fermionic groups is discussed.Comment: 31 pages. arXiv admin note: text overlap with arXiv:math-ph/0405040,
arXiv:math-ph/0203059, arXiv:math-ph/030603
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