Supergravity was discovered four years ago [234,120, 235] and interest in this new theory
has been great from the beginning. However, the rapid development of the field and various …

We give a review of conformal supergravity considered as a candidate for a fundamental
theory describing physics at Planck distances. Conformal supergravities are supersymmetric …

A new approach to N= 2 supersymmetry based on the concept of harmonic superspace is
proposed and is used to give an unconstrained superfield geometric description of N= 2 …

This is a pedagogical introduction to the harmonic superspace method in extended
supersymmetry. Inspired by exciting developments in superstring theory, it provides a …

Reproducing the integer count of black hole micro-states from the gravitational path integral
is an important problem in quantum gravity. In this paper, we show that, by using …

In these lecture notes we describe recent progress in our understanding of attractor
mechanism and entropy of extremal black holes based on the entropy function formalism …

We present explicit expressions for general actions of vector and scalar multiplets coupled to
N= 2 supergravity. We outline their construction which is based on the superconformal …

We present the complete structure of extended conformal supergravity for N⩽ 4. The relation
with the graded algebra SU (2, 2| N) and with the multiplet of currents is discussed. The N= 4 …

A bstract We present a set of equations for a 4D Killing spinor which guarantees the Seiberg-
Witten theories on a curved background to be supersymmetric. The equations involve an SU …

A number of N= 2 superconformal multiplets are presented. A corresponding calculus exists
which can be exploited for the construction of superconformally invariant actions. Actions …