New supersymmetric higher-derivative couplings: Full N=2 superspace does not count!

TL;DR

This paper constructs a new class of N=2 supersymmetric invariants with higher-derivative couplings, showing they do not affect BPS black hole entropy or charges, and may be relevant for topological string theory.

Contribution

It introduces a comprehensive set of off-shell N=2 supersymmetric invariants based on full superspace integrals, expanding the understanding of higher-derivative couplings.

Findings

Non-renormalization theorem prevents these invariants from affecting BPS black hole entropy.

Constructed invariants depend on unrestricted chiral, vector, and Weyl supermultiplets.

Some invariants could be relevant for topological string deformations.

Abstract

An extended class of N=2 locally supersymmetric invariants with higher-derivative couplings based on full superspace integrals, is constructed. These invariants may depend on unrestricted chiral supermultiplets, on vector supermultiplets and on the Weyl supermultiplet. Supersymmetry is realized off-shell. A non-renormalization theorem is proven according to which none of these invariants can contribute to the entropy and electric charges of BPS black holes. Some of these invariants may be relevant for topological string deformations.