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arXiv · hep-th/9808174

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

M. G. Negrao·A. Penna-Firme·J. A. Helayel-Neto
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Abstract

The equivalence between rank-2 anti-symmetric tensor fields, considered as gauge potentials, and torsionless non-linear $σ$-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 $σ$-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 $σ$-model's target manifold is non-symmetric.

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M. G. Negrao, A. Penna-Firme, J. A. Helayel-Neto. 1998-08-28. Anti-symmetric Tensor Matter Fields and Non-Linear Sigma-Model. https://arxiv.org/abs/hep-th/9808174

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