Anti-symmetric Tensor Matter Fields and Non-Linear Sigma-Model

Details Anti-symmetric Tensor Matter Fields and Non-Linear Sigma-Model Anti-symmetric Tensor Matter Fields and Non-Linear Sigma-Model

1998-08-28

arxiv.org/abs/hep-th/9808174v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, Latex

Scientific paper

The equivalence between rank-2 anti-symmetric tensor fields, considered as gauge potentials, and torsionless non-linear $\sigma$-models suggests us to study the possibility of coupling tensorial matter with Yang-Mills fields, through the gauging of the isometries of the target space. We show that this coupling is actually possible; however, the matter appears no longer as an elementary field, but rather as a composite one, expressed in terms of the bosonic degrees of freedom of the $\sigma$-model. A possible phenomenological application is presented that describes the interactions among vector mesons in terms of the geometrical properties of the target manifold. Also, spin-2 meson resonances may naturally be accommodated whenever the $\sigma$-model's target manifold is non-symmetric.

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