R-Symmetry, twisted N=2 Theory and the Role of the Dilaton

TL;DR

This paper explores R-symmetry in locally supersymmetric N=2 gauge theories with hypermultiplets, focusing on its role in topological twisting and the unique R-charge of the dilaton-axion vector multiplet.

Contribution

It analyzes the R-symmetry structure in N=2 supergravity theories and its implications for topological twisting, highlighting the special R-charge of the dilaton-axion multiplet.

Findings

Existence of a suitable R-symmetry in N=2 supergravity theories.

Differential R-charge assignment for the dilaton-axion vector multiplet.

Potential for topological twisting of these theories.

Abstract

We discuss R-symmetry in locally supersymmetric $N=2$ gauge theories coupled to hypermultiplets, which can be viewed as effective theories of heterotic string models. In this type of supergravities a suitable R-symmetry exists and can be used to topologically twist the theory. The vector multiplet of the dilaton-axion field has a different R-charge assignment with respect to the other vector multiplets.