51 research outputs found

    Non-Abelian Antisymmetric-Vector Coupling from Self-Interaction

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    A non-abelian coupling between antisymmetric fields and Yang-Mills fields proposed by Freedman and Townsend several years ago is derived using the self-interaction mechanism.Comment: 8 pages, latex, some misprints in the references are corrected. Accepted for publication in Modern Physics Letters

    Self-Dual Spin-3 And 4 Theories

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    We present self-dual spin-3 and 4 actions using relevant dreibein fields. since these actions start with a Chern-Simons like kinetic term (and therefore cannot be obtained through dimensional reduction) one might wonder whether they need the presence of auxiliary ghost-killings fields. It turns out that they must contain, also in this three dimensional case, auxiliary fields. They do not break self-duality: their free actions do not contain kinetic second order terms.Comment: 10, IC/91-20

    Non-abelian self-duality from self-interaction

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    The non-abelian self-dual action in three dimensions is derived using the self-interaction mechanism.Comment: Latex, 7 page

    Duality for massive spin two theories in arbitrary dimensions

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    Using the parent Lagrangian approach we construct a dual formulation, in the sense originally proposed by Curtright and Freund, of a massive spin two Fierz-Pauli theory in arbitrary dimensions DD. This is achieved in terms of a mixed symmetry tensor TA[B1B2...BD−2]T_{A[B_{1}B_{2}... B_{D-2}]}, without the need of auxiliary fields. The relation of this method with an alternative formulation based on a gauge symmetry principle proposed by Zinoviev is elucidated. We show that the latter formulation in four dimensions, with a given gauge fixing together with a definite sequence of auxiliary fields elimination via their equations of motion, leads to the parent Lagrangian already considered by West completed by a Fierz-Pauli mass term, which in turns yields the Curtright-Freund action. This motivates our generalization to arbitrary dimensions leading to the corresponding extension of the four dimensional result. We identify the transverse true degrees of freedom of the dual theory and verify that their number is in accordance with those of the massive Fierz-Pauli field.Comment: 14 pages, no figures, revtex 4. Some new comments and explanations have been added and the notation homogeneize

    Topological mass in seven dimensions and dualities in four dimensions

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    The massive topologically and self dual theories en seven dimensions are considered. The local duality between these theories is established and the dimensional reduction lead to the different dualities for massive antisymmetric fields in four dimensions.Comment: 7 page

    Massive Gauge Axion Fields

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    A gauge invariant formulation for the massive axion is considered. The axion acquires mass through a topological term which couples a (pseudo)scalar and a third rank antisymmetric tensor. Duality, local and canonical equivalences with the non-gauge invariant proposal are established. The supersymmetric version of the gauge invariant model is constructed.Comment: Final version. New references adde

    Dualization of non-Abelian BF model

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    We show that dualization of BF models to Stueckelberg-like massive gauge theories allows a non-Abelian extension. We obtain local Lagrangians which are straightforward extensions of the Abelian results.Comment: 6 pages, ReVTeX, no figures, to be publ. on Phys.Lett.

    A non local unitary vector model in 3-D

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    We present a unified analysis of single excitation vector models in 3D. We show that there is a family of first order master actions related by duality transformations which interpolate between the different models. We use a Hamiltonian (2+1) analysis to show the equivalence of the self-dual and topologically massive models with a covariant non local model which propagates also a single massive excitation. It is shown how the non local terms appears naturally in the path integral framework.Comment: 13 pages, 1 figur
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