Duality invariance in massive theories

Abstract

In this work, we show that duality symmetry can be implemented for massive theories at the level of the action, whenever we can formulate appropriates gauge invariant actions. For a massive vectorial field, we use a known gauge invariant description, while for a massive graviton, we introduce a novel gauge invariant action in order to show duality invariance.Comment: 12 pages, some additional comments and references are adde

More on dual actions for massive spin-2 particles

“…We also show here that in D = 2 + 1 the model of [22] can be interpreted as a linearized version of a new bimetric model very much inspired in the "New Massive Gravity" of [24]. Moreover, we obtain a new massive spin-2 model, in arbitrary dimensions, described by a symmetric rank-2 tensor coupled to a mixed symmetry tensor.…”

“…In particular, a spin-2 version, see [22], of the spin-1 topologically massive BF model or Cremmer-Scherk [23] model is now obtained. Differently from [22] where the linearized Riemann tensor is introduced in the dualization procedure in order to generate pure gauge solutions, here the linearized Riemann tensor emerges naturally after solving a functional constraint. Those ideas might be useful to unravel the much less known higher spin geometries.…”

Hamiltonian analysis and positivity of a new massive spin-2 model

“…Notice that there is no propagating degree of freedom in the D = 2 + 1 Einstein-Hilbert theory in agreement with the absence of particle content in the kinetic term for the B µ [αβ] field in arbitrary dimensions. The model (31), when written in first order, is a kind of "zwei dreibein" model, see [26]. After a simple rotation we can decouple the fields and rewrite (31) in terms of two second order spin-2 self-dual models (parity singlets) of opposite helicities +2 and −2 L(e, f ) = L…”

“…The model (31), when written in first order, is a kind of "zwei dreibein" model, see [26]. After a simple rotation we can decouple the fields and rewrite (31) in terms of two second order spin-2 self-dual models (parity singlets) of opposite helicities +2 and −2 L(e, f ) = L…”

“…In[31] another model dual to the massive FP theory is suggested which contains besides a symmetric rank-2 tensor, an auxiliary B-field of rank-4. The model is of fourth order in derivatives.…”