The Complete Form of N=2 Supergravity and its Place in the General Framework of D=4 N--Extended Supergravities

Abstract

Relying on the geometrical set up of Special Kähler Geometry and Quaternionic Geometry, which I discussed at length in my Lectures at the 1995 edition of this Spring School, I present here the recently obtained fully general form of N=2 supergravity with completely arbitrary couplings. This lagrangian has already been used in the literature to obtain various results: notably the partial breaking of supersymmetry and various extremal black--hole solutions. My emphasis, however, is only on providing the reader with a completely explicit and ready to use component expression of the supergravity action. All the details of the derivation are omitted but all the definitions of the items entering the lagrangian and the supersymmetry transformation rules are given.

11 pages, LaTeX espcrc2, Seminar at Trieste Spring School 1996

References in corpus (5)

• Spontaneous Breaking of N=2 to N=1 in Rigid and Local Supersymmetric Theories
• Topological Sigma-Models in Four Dimensions and Triholomorphic Maps
• Lectures on Special Kahler Geometry and Electric--Magnetic Duality Rotations
• Gauged Hyperinstantons and Monopole Equations
• R-Symmetry and the Topological Twist of N=2 Effective Supergravities of Heterotic Strings

Cited by in corpus (4)

• Black Holes and Solitons in String Theory
• Supergravity Analysis of Hybrid Inflation Model from D3--D7 System
• Supersymmetric Large Extra Dimensions Are Small and/or Numerous
• Killing Spinors -- Beyond Supergravity