Ivano Lodato

New higher-derivative invariants in N = 2 supergravity and the Gauss-Bonnet term

A bstractA new class of N = 2 locally supersymmetric higher-derivative invariants is constructed based on logarithms of conformal primary chiral superfields. They characteristically involve a coupling to

Rigid 4D N=2 supersymmetric backgrounds and actions

{{\mathcal{R}}_{uv}}^2-\frac{1}{3}{{\mathcal{R}}^2}

Non-renormalization theorems and N=2 supersymmetric backgrounds

, which equals the non-conformal part of the Gauss-Bonnet term. Upon combining one such invariant with the known supersymmetric version of the square of the Weyl tensor, one obtains the supersymmetric extension of the Gauss-Bonnet term. The construction is carried out in the context of both conformal superspace and the superconformal multiplet calculus. The new class of supersymmetric invariants resolves two open questions. The first concerns the proper identification of the 4D supersymmetric invariants that arise from dimensional reduction of the 5D mixed gauge-gravitational Chern-Simons term. The second is why the pure Gauss-Bonnet term without supersymmetric completion has reproduced the correct result in calculations of the BPS black hole entropy in certain models.

Rigid 4D \( \mathcal{N}=2 \) supersymmetric backgrounds and actions

A bstractWe classify all N=2

Higher derivative corrections to BPS black hole attractors in 4d gauged supergravity

\mathcal{N}=2

The fate of flat directions in higher derivative gravity

rigid supersymmetric backgrounds in four dimensions with both Lorentzian and Euclidean signature that preserve eight real supercharges, up to discrete identifications. Among the backgrounds we find specific warpings of S3×ℝ

\cN

{S}^3\times \mathrm{\mathbb{R}}