Superconformal N = 2, D = 5 matter with and without actions
By Eric Bergshoeff, S. Cucu, T. D. Wit, J. Gheerardyn, R. Halbersma, S. Vandoren, A. Proeyen. 2002
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We investigate N = 2, D = 5 supersymmetry and matter-coupled supergravity theories in a superconformal context. In a first stage we do not require the existence of a lagrangian. Under this assumption, we already find at the level of rigid supersymmetry, i.e. before coupling to conformal supergravity, more general matter couplings than have been considered in the literature. For instance, we construct new vector-tensor multiplet couplings, theories with an odd number of tensor multiplets, and hypermultiplets whose scalar manifold geometry is not hyperkahler. Next, we construct rigid superconformal lagrangians. This requires some extra ingredients that are not available for all dynamical systems. However, for the generalizations with tensor multiplets mentioned above, we find corresponding new actions and scalar potentials. Finally, we extend the supersymmetry to local superconformal symmetry, making use of the Weyl multiplet. Throughout the paper, we will indicate the various geometrical concepts that arise, and as an application we compute the non-vanishing components of the Ricci tensor of hypercomplex group manifolds. Our results can be used as a starting point to obtain more general matter-couplings to Poincare supergravity.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/d3787203032713b09d66f7ea1c418af1f04c5c87
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- (1,0) superconformal models in six dimensions (2011, background): “ese constraints or if it may be generalized to other gauge groups. In this context, it may be interesting to pursue the comparison to the fivedimensional superconformal models classified and studied in [56], which may elucidate the geometric role of the set of algebraic consistency constraints (4.2) t”