Curvature squared action in four dimensional $N=2$ supergravity using the dilaton Weyl multiplet

Abstract

In this paper we derive the most general curvature squared action coupled to an arbitrary number of vector multiplets in four dimensional $N=2$ supergravity using the dilaton Weyl multiplet. The action that we derive is encoded in a single holomorphic prepotential.

40 Pages Latex, minor changes

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• Higher derivative invariants in four dimensional N=3 Poincare supergravity
• Quantum entropy of BMPV black holes and the topological M-theory conjecture
• N=2 conformal supergravity in five dimensions
• Dilaton Weyl multiplets for $N=3$ conformal supergravity in four dimensions
• $SU(2)\times SU(2)$ dilaton Weyl multiplets for maximal conformal supergravity in four, five, and six dimensions
• Variant dilaton Weyl Multiplet for N=3 conformal supergravity in four dimensions
• On the Vacuum Structure of the $\mathcal{N}=4$ Conformal Supergravity
• Hyper-Dilaton Weyl Multiplet of 4D, $\mathcal{N}=2$ Conformal Supergravity