@MISC{Hannover97gaugingthe, author = {Universität Hannover and Norbert Dragon and Ulrich Theis}, title = {Gauging the Central Charge}, year = {1997} }

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Abstract

We gauge the central charge of the N = 2 supersymmetry algebra in rigid superspace. The Fayet Sohnius hypermultiplet with gauged central charge coincides on-shell with N = 2 supersymmetric electrodynamics. The gauge couplings of the vector-tensor multiplet turn out to be nonpolynomial. Since the appearance of the vector-tensor multiplet [1] in string theory [2] (see also [3]), much effort has been made to derive consistent interactions both with itself and with background vector multiplets [4, 5, 6]. The presence of Chern-Simons couplings in particular seemed to be a general feature of the possible interactions. Recently, however, a gauge theory was constructed outside the framework of supersymmetry which resembled the vector-tensor multiplet with local central charge transformations and resulted in a nonpolynomial action without any Chern-Simons forms [7]. The same model was found by different means as a particular example in a more general class of theories (eq. (17) of [8]) where it is formulated in a polynomial first-order form. In the present paper we obtain the supersymmetric generalization