Dual theories for mixed symmetry fields. Spin-two case: (1,1) versus (2,1) Young symmetry type fields

2001/02/16 by Horacio Casini, H. Casini, R. Montemayor +1 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #hep-th

paper · pdf · doi:10.1016/s0370-2693(01)00447-6

published as Phys.Lett. B507 (2001) 336-344 · 10 pages, no figures

arxiv created 2001/02/16 · openalex publication_date 2001/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the parent Lagrangian method gives a natural generalization of the dual theories concept for non p-form fields. Using this generalization we construct here a three-parameter family of Lagrangians that are dual to the Fierz-Pauli description of a free massive spin-two system. The dual field is a three-index tensor T, which dinamically belongs to the (2,1) representation of the Lorentz group. As expected, the massless limit of our Lagrangian, which is parameter independent, has two propagating degrees of freedom per space point.

Citations

• Duality for the Non-Specialist
• Condensation of p-branes and generalized Higgs/confinement duality
• Supersymmetry and Duality in Field Theory and String Theory

Cited by

• Consistent deformations of dual formulations of linearized gravity: A no-go result
• Dimensional reduction as a method to obtain dual theories for massive spin two in arbitrary dimensions
• No cross-interactions among different tensor fields with the mixed symmetry (3, 1) intermediated by a vector field