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Superform Formulations for Off-shell Supermultiplets with Gauged Central Charge in N

Joseph Novak

出版	University of Western Australia, 2013
URL	http://books.google.com.hk/books?id=NPtwrgEACAAJ&hl=&source=gbs_api

註釋

In N = 2 conformal supergravity in four spacetime dimensions, there exist o -shell supermultiplets with intrinsic central charge, including the Fayet-Sohnius hypermultiplet, the vector-tensor (VT) multiplet and the linear multiplet. Here we construct superform formulations for such multiplets and their variants. To begin with, we review superspace formulations for four-dimensional N = 2 conformal supergravity. We consider models involving both vector and tensor multiplets coupled to supergravity and demonstrate explicitly how component actions may be e ciently obtained with the use of superspace techniques. We introduce the VT multiplets in N = 2 Poincare and AdS supersymmetry. In particular, we discuss the linear and nonlinear VT multiplets. A general setting for N = 2 AdS supersymmetric theories with central charge is presented. A supersymmetric action principle is given in N = 2 AdS superspace and then reformulated in terms of N = 1 super- elds. A proof is presented of the nonexistence of a linear VT multiplet in N = 2 AdS supersymmetry. For the nonlinear VT multiplet, we derive consistent super eld constraints in the presence of any number of N = 2 Yang-Mills vector multiplets, give the supersymmetric action and elaborate on the N = 1 super eld and component descriptions of the theory. In supergravity, we present superform formulations for two versions of VT multiplets and their Chern-Simons couplings. One of them is the standard VT multiplet with the central charge gauged by a vector multiplet. The other is the variant VT multiplet with the property that its own one-form gauges the central charge. The construction of supersymmetric actions for the standard VT multiplet is performed with the use of the linear multiplet. We provide a superform formulation for the linear multiplet and derive the corresponding action functional using the ectoplasm method. We introduce a deformed linear multiplet and a supersymmetric action associated with it. The novel feature of this multiplet is that it corresponds to the case where the central charge is gauged using a one-form potential that is not annihilated by the central charge (unlike the standard N = 2 vector multiplet). This modi cation is required for the construction of the action for the variant VT multiplet. Finally, we show that our superspace description leads to an e cient means of deriving component actions in supergravity. The entire action including all fermionic terms is derived for the nonlinear VT multiplet. This extends the results of de Wit et al. in hep-th/9710212, where only the bosonic sector appeared. Finally, the bosonic sector of the action for the variant VT multiplet is given.