Dual versions of N=2 supergravity and spontaneous supersymmetry breaking

In this paper, using a model of N=2 supergravity - vector multiplets interaction with the scalar field geometry $SU(1,m)/SU(m)\otimes U(1)$ as an example, we show that even when the geometry is fixed one can have a whole family of the Lagrangians that differ by the vector field duality transformations. As a byproduct, for this geometry we have constructed a model of (m-1) vector multiplets interacting with the hidden sector admitting spontaneous supersymmetry breaking with two arbitrary scales and without a cosmological term.Comment: 10 pages, LaTeX, IHEP preprint 94-9

On Dual Formulations of Massive Tensor Fields

In this paper we investigate dual formulations for massive tensor fields. Usual procedure for construction of such dual formulations based on the use of first order parent Lagrangians in many cases turns out to be ambiguous. We propose to solve such ambiguity by using gauge invariant description of massive fields which works both in Minkowski space as well as (Anti) de Sitter spaces. We illustrate our method by two concrete examples: spin-2 "tetrad" field h_{\mu a}, the dual field being "Lorentz connection" \omega_{\mu,ab} and "Riemann" tensor R_{\mu\nu,ab} with the dual \Sigma_{\mu\nu,abc}.Comment: 9 pages, plain LaTe

Towards frame-like gauge invariant formulation for massive mixed symmetry bosonic fields. II. General Young tableau with two rows

In this paper we complete our construction of frame-like gauge invariant description for massive mixed symmetry tensor fields corresponding to arbitrary Young tableau with two rows started in [1]. We consider general massive theory in (A)dS spaces with arbitrary cosmological constant as well as all special limits which exist both in de Sitter and in anti-de Sitter spaces.Comment: 22 pages, 11 LaTeX picture

Dual versions of extended supergravities

Recently, using the model of N=2 supergravity -- vector multiplets interaction with the scalar field geometry $SU(1,m)/SU(m)\otimes U(1)$ as an example, we have shown that even when the scalar field geometry is fixed, one can have a whole family of the Lagrangians, which differ by vector field duality transformation. In this paper we carry out the construction of such families for the case of N=3 and N=4 supergravities, the scalar field geometry being $SU(3,m)/SU(3)\otimes SU(m)\otimes U(1)$ and $SU(1,1)/U(1)\otimes O(6,m)/O(6)\otimes O(m)$, correspondingly. Moreover, it turns out that these families contain, as a partial case, the models describing the interaction of arbitrary number of vector multiplets with our hidden sectors, admitting spontaneous supersymmetry breaking without a cosmological term.Comment: 9 pages, plain LaTeX, no figure

Infinite spin fields in d = 3 and beyond

In this paper we consider the frame-like formulation for the so called infinite (continuous) spin representations of the Poincare algebra. In the three dimensional case we give explicit Lagrangian formulation for bosonic and fermionic infinite spin fields (including the complete sets of the gauge invariant objects and all the necessary extra fields). Moreover we find the supertransformations for the supermultiplet containing one bosonic and one fermionic fields leaving the sum of their Lagrangians invariant. Properties of such fields and supermultiplets in four and higher dimensions are also briefly discussed.Comment: 14 pages, 3 figures. Expanded version of the talks given at "Workshop on higher spin gauge fields", 26-28 April 2017, UMONS, Mons, Belgium and "Ginzburg centennial conference on physics", May 29 - June 03 2017, LPI, Moscow, Russi