Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-07-22
Nucl.Phys.B810:135-149,2009
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, LaTeX, no figures; V2: typos corrected, comments added
Scientific paper
10.1016/j.nuclphysb.2008.10.021
The superspace formulation for four-dimensional N = 2 matter-coupled supergravity recently developed in arXiv:0805.4683 makes use of a new type of conformal compensator with infinitely many off-shell degrees of freedom: the so-called covariant weight-one polar hypermultiplet. In the present note we prove the duality of this formulation to the known minimal (40+40) off-shell realization for N = 2 Poincare supergravity involving the improved tensor compensator. Within the latter formulation, we present new off-shell matter couplings realized in terms of covariant weight-zero polar hypermultiplets. We also elaborate upon the projective superspace description of vector multiplets in N = 2 conformal supergravity. An alternative superspace representation for locally supersymmetric chiral actions is given. We present a model for massive improved tensor multiplet with both ``electric'' and ``magnetic'' types. of mass terms.
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