R-Symmetry and the Topological Twist of N=2 Effective Supergravities of Heterotic Strings

Details R-Symmetry and the Topological Twist of N=2 Effective Supergravities of Heterotic Strings R-Symmetry and the Topological Twist of N=2 Effective Supergravities of Heterotic Strings

1995-05-19

arxiv.org/abs/hep-th/9505123v3

Int.J.Mod.Phys. A12 (1997) 379-418

Physics

High Energy Physics

High Energy Physics - Theory

40 pages, plain LaTeX. Final version to appear on IJMPA

Scientific paper

10.1142/S0217751X97000475

We discuss R-symmetries in locally supersymmetric N=2 gauge theories coupled to hypermultiplets which can be thought of as effective theories of heterotic superstring models. In this type of supergravities a suitable R-symmetry exists and can be used to topologically twist the theory: the vector multiplet containing the dilaton-axion field has different R-charge assignments with respect to the other vector multiplets. Correspondingly a system of coupled instanton equations emerges, mixing gravitational and Yang--Mills instantons with triholomorphic hyperinstantons and axion-instantons. For the tree-level classical special manifolds $ST(n)=SU(1,1)/U(1)\times SO(2,n)/(SO(2)$ $\times SO(n))$ R-symmetry with the specified properties is a continuous symmetry, but for the quantum corrected manifolds ${\hat {ST}}(n)$ a discrete R--group of electric--magnetic duality rotations is sufficient and we argue that it exists.

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