2008/07/30 by Sergei M. Kuzenko, Gabriele Tartaglino-Mazzucchelli · 2 citations
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1088/1126-6708/2008/10/001
published as JHEP 0810:001,2008 · 48 pages, LaTex, no figures; V2: typos corrected, eq. (4.50), (4.57) and (4.63a) modified
arxiv created 2008/07/30 · arxiv updated 2011/08/04
Building on the superspace formulation for four-dimensional N=2 matter-coupled supergravity developed in arXiv:0805.4683, we elaborate upon a general setting for field theory in N=2 conformally flat superspaces, and concentrate specifically on the case of anti-de Sitter (AdS) superspace. We demonstrate, in particular, that associated with the N=2 AdS supergeometry is a unique vector multiplet such that the corresponding covariantly chiral field strength W0 is constant, W0=1. This multiplet proves to be intrinsic in the sense that it encodes all the information about the N=2 AdS supergeometry in a conformally flat frame. Moreover, it emerges as a building block in the construction of various supersymmetric actions. Such a vector multiplet, which can be identified with one of the two compensators of N=2 supergravity, also naturally occurs for arbitrary conformally flat superspaces. An explicit superspace reduction N=2 to N=1 is performed for the action principle in general conformally flat N=2 backgrounds, and examples of such reduction are given.