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 …

The species scale Λ s≤ M pl Λ_s≤M_\rmpl serves as a UV cutoff in the gravitational sector
of an EFT and can depend on the moduli of the theory as the spectrum of the theory varies. It …

We construct the general coupling of nN= 2 Maxwell super-multiplets to N= 2 supergravity in
five spacetime dimensions. In the case that the scalar field manifold is symmetric we find a …

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 …

The general couplings of vector multiplets to N= 2 supergravity are presented. The
possibility of generalized duality invariance of the bosonic field equations is investigated …

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 …

We show that certain type II string amplitudes at genus g are given by the topological
partition function F g discussed recently by Bershadsky, Cecotti, Ooguri and Vafa. These …

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 …

A bstract We study the finite part of the sphere partition function of d-dimensional Conformal
Field Theories (CFTs) as a function of exactly marginal couplings. In odd dimensions, this …