On N = 2 supergravity and projective superspace: Dual formulations

Abstract

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.

18 pages, LaTeX, no figures; V2: typos corrected, comments added

References in corpus (21)

• The effective action of N=1 Calabi-Yau orientifolds
• Type II Theories Compactified on Calabi-Yau Threefolds in the Presence of Background Fluxes
• Correlation Functions of Conserved Currents in N = 2 Superconformal Theory
• Hypermultiplets, Hyperkahler Cones and Quaternion-Kahler Geometry
• Projective Superspace as a Double--Punctured Harmonic Superspace
• 5D Supergravity and Projective Superspace
• Feynman Rules in N=2 Projective Superspace I: Massless hypermultiplets
• On compactified harmonic/projective superspace, 5D superconformal theories, and all that
• Super-Weyl invariance in 5D supergravity
• Anomalous Magnetic Properties of Sr2YRuO6
• Feynman rules in N=2 projective Superspace II: Massive hypermultiplets
• N=2 Supergravity Lagrangian Coupled to Tensor Multiplets with Electric and Magnetic Fluxes
• On superconformal projective hypermultiplets
• Five-dimensional Superfield Supergravity
• Field theory in 4D N=2 conformally flat superspace
• Curved Extended Superspace from Yang-Mills Theory a la Strings
• Five-dimensional N = 1 AdS superspace: Geometry, off-shell multiplets and dynamics
• On massive tensor multiplets
• Dyonic Masses from Conformal Field Strengths in D even Dimensions
• Massive Tensor Multiplets in N=1 Supersymmetry
• Feynman Rules in N=2 projective superspace III: Yang-Mills multiplet

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