New N=2 supersymmetric gauge theories: The double tensor multiplet and its interactions

TL;DR

This paper derives the double tensor multiplet in N=2 supersymmetry, analyzes its interactions, and constructs new exotic gauge theories with nonpolynomial features relevant to string theory.

Contribution

It introduces and characterizes new N=2 supersymmetric gauge theories involving the double tensor multiplet with nonpolynomial interactions.

Findings

Dimension 5 interaction vertices are fully determined.

New local but nonpolynomial N=2 gauge theories are constructed.

Explicit models exemplify the exotic interaction structures.

Abstract

The double tensor multiplet of D=4, N=2 supersymmetry, relevant to type IIB superstring vacua, is derived and its gauge invariant and N=2 supersymmetric interactions are analysed, both self-interactions and interactions with vector multiplets and hypermultiplets. Using deformation theory, it is shown that the lowest dimensional nontrivial interaction vertices of this type have dimension 5 and all dimension 5 vertices are determined. They give rise to new N=2 supersymmetric gauge theories of the `exotic' type which are local but nonpolynomial in some of the fields and coupling constants. Explicit examples of such models are constructed.