Reducible Stueckelberg symmetry and dualities

Irreducible Hamiltonian BRST analysis of Stueckelberg coupled p-form gauge theories

The irreducible Hamiltonian BRST symmetry for p-form gauge theories with Stueckelberg coupling is derived. The cornerstone of our approach is represented by the construction of an irreducible theory that is equivalent from the point of view of the BRST formalism with the original system. The equivalence makes permissible the substitution of the BRST quantization of the reducible model by that of the irreducible theory. Our procedure maintains the Lorentz covariance of the irreducible path integral.

Masses and Dualities in Extended Freedman-Townsend Models

We consider some generalizations of Freedman-Townsend models of self-interacting antisymmetric tensors, involving couplings to further form fields introduced by Henneaux and Knaepen. We show how these fields can provide masses to the tensors by means of the Stueckelberg mechanism and implement the latter in four-dimensional N=1 superspace. The duality properties of the form fields are studied, and the paradoxical situation of a duality between a free and an interacting theory is encountered.

Mass Generation in Abelian U(1) Gauge Theories: A Rich Network of Dualities

Following a novel approach, all known basic mass generation mechanisms consistent with an exact abelian U(1) gauge symmetry are shown to be related through an intricate network of dualities whatever the spacetime dimension. This equivalence which applies in the absence of any supersymmetry, is however restricted by the presence of topological terms generating possible topological effects. In particular in 3+1 dimensions the duality relations between the Maxwell-Higgs model, the Stueckelberg and the topological mass generation mechanisms are then established following a careful treatment of the…

关于变形可约规范理论的量子化

On a quantization of deformed reducible gauge theories

本文研究了通过质量或相互作用项破坏规范不变性的可约规范理论，通过Stueckelberg方法将其转化为规范不变理论，并推导了其路径积分形式的配分函数。

Spin-2 twisted duality in (A)dS

Starting from the dual Lagrangians recently obtained for (partially) massless spin-2 fields in the Stueckelberg formulation, we write the equations of motion for (partially) massless gravitons in (A)dS in the form of twisted-duality relations. In both cases, the latter admit a smooth flat limit. In the massless case, this limit reproduces the gravitational twisted-duality relations previously known for Minkowski spacetime. In the partially-massless case, our twisted-duality relations preserve the number of degrees of freedom in the flat limit, in the sense that they split into a decoupled pair…

BRST-BFV Lagrangian Formulations for Higher Spin Fields subject to two-column Young Tableaux

The details of Lagrangian description of irreducible integer higher-spin representations of the Poincare group with an Young tableaux $Y[\hat{s}_1,\hat{s}_2]$ having $2$ columns are considered for Bose particles propagated on an arbitrary dimensional Minkowski space-time. The procedure is based, first, on using of an auxiliary Fock space generated by Fermi oscillators (antisymmetric basis), second, on construction of the Verma module and finding auxiliary oscillator realization for $sl(2)\oplus sl(2)$ algebra which encodes the second-class operator constraints subsystem in the HS symmetry supe…