Phantom Space-times in Fake Supergravity

Abstract

We discuss phantom metrics admitting Killing spinors in fake N=2, D=4 supergravity coupled to vector multiplets. The Abelian U(1) gauge fields in the fake theory have kinetic terms with the wrong sign. We solve the Killing spinor equations for the standard and fake theories in a unified fashion by introducing a parameter which distinguishes between the two theories. The solutions found are fully determined in terms of algebraic conditions, the so-called stabilisation equations, in which the symplectic sections are related to a set of functions. These functions are harmonic in the case of the standard supergravity theory and satisfy the wave-equation in flat (2+1)-space-time in the fake theory. Explicit examples are given for the minimal models with quadratic prepotentials.

11 pages

References in corpus (8)

• The supersymmetric configurations of N=2, d=4 supergravity coupled to vector supermultiplets
• All null supersymmetric backgrounds of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
• Gauduchon-Tod structures, Sim holonomy and De Sitter supergravity
• HKT Geometry and de Sitter Supergravity
• Geometry of all supersymmetric four-dimensional $\mathcal{N}=1$ supergravity backgrounds
• Phantom Metrics With Killing Spinors
• Maximally Minimal Preons in Four Dimensions
• On Non-extremal Instantons and Black Holes

Cited by in corpus (6)

• Special Geometry and Space-time Signature
• Five-dimensional vector multiplets in arbitrary signature
• Euclidean Supergravity and Multi-Centered Solutions
• Solutions of D=4 Gauged Pseudo-Supergravity
• Flow Equations In Arbitrary Signature
• Cosmological Solutions, a New Wick-Rotation, and the First Law of Thermodynamics