1110.0971 (Sergei M. Kuzenko et al.)

Vector-tensor supermultiplets in AdS and supergravity    [PDF]

Sergei M. Kuzenko, Joseph Novak

In N = 2 Poincare supersymmetry in four space-time dimensions, there exist
off-shell supermultiplets with intrinsic central charge, including the
important examples of the Fayet-Sohnius hypermultiplet, the linear and the
nonlinear vector-tensor (VT) multiplets. One can also define similar
supermultiplets in the context of N = 2 anti-de Sitter (AdS) supersymmetry,
although the origin of the central charge becomes somewhat obscure. In this
paper we develop a general setting for N = 2 AdS supersymmetric theories with
central charge. We formulate a supersymmetric action principle in N = 2 AdS
superspace and then reformulate it in terms of N = 1 superfields. We prove that
N = 2 AdS supersymmetry does not allow existence of a linear VT multiplet. For
the nonlinear VT multiplet, we derive consistent superfield constraints in the
presence of any number of N = 2 Yang-Mills vector multiplets, give the
supersymmetric action and elaborate on the N = 1 superfield and component
descriptions of the theory. Our description of the nonlinear VT multiplet in
AdS is then lifted to N = 2 supergravity. Moreover, we derive consistent
superfield constraints and Lagrangian that describe the linear VT multiplet in
N = 2 supergravity in the presence of two vector multiplets, one of which
gauges the central charge. These supergravity constructions thus provide the
first superspace formulation for the component results derived in
arXiv:hep-th/9710212. We also construct higher-derivative couplings of the VT
multiplet to any number of N = 2 tensor multiplets.

View original: http://arxiv.org/abs/1110.0971