N=2 Supersymmetric Scalar-Tensor Couplings

TL;DR

This paper derives the most general N=2 supersymmetric couplings between scalars and antisymmetric tensors in four dimensions, with applications to string compactifications and explicit multiplet dualities.

Contribution

It provides the complete classification of scalar-tensor couplings with N=2 supersymmetry, including explicit Lagrangians and transformation rules for dual multiplets.

Findings

Derived the general form of scalar-tensor couplings in N=2 supersymmetry.

Applied results to Calabi-Yau compactifications of Type II supergravities.

Presented explicit Lagrangian and transformation rules for the double-tensor multiplet.

Abstract

We determine the general coupling of a system of scalars and antisymmetric tensors, with at most two derivatives and undeformed gauge transformations, for both rigid and local N=2 supersymmetry in four-dimensional spacetime. Our results cover interactions of hyper, tensor and double-tensor multiplets and apply among others to Calabi-Yau threefold compactifications of Type II supergravities. As an example, we give the complete Lagrangian and supersymmetry transformation rules of the double-tensor multiplet dual to the universal hypermultiplet.