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Higher-spin gauge interactions for massive matter fields (1999)
| Venue: | in 3D AdS space-time,” Nucl. Phys. B 545 |
| Citations: | 86 - 0 self |
BibTeX
@INPROCEEDINGS{Prokushkin99higher-spingauge,
author = {S. F. Prokushkin and M. A. Vasiliev},
title = {Higher-spin gauge interactions for massive matter fields},
booktitle = {in 3D AdS space-time,” Nucl. Phys. B 545},
year = {1999},
pages = {385--9806236}
}
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Abstract
A remarkable feature of the models with interactions exhibiting higher-spin (HS) gauge symmetries in d> 2 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 U(n) × U(m) 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 Bäcklund-Nicolai–type mapping to the free system.
Keyphrases
matter field massive matter field higher-spin gauge interaction massive hypermultiplets infinite tower gauge group theory h gauge theory chan-paton type inner symmetry non-local cklund-nicolai type mapping supersymmetric truncation gauge symmetry h gauge interaction general property remarkable feature discrete symmetry yang-mills interaction h model new result non-trivial h model full system usual supergravitational space-time susy integrating flow interesting implication certain representation higher-dimensional model certain auxiliary field free system massive spin-0 flat one symmetric vacuum require ad space-time yang-mills symmetry
