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arXiv · hep-th/9505123

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

M. Billo'·R. D'Auria·S. Ferrara·P. Fre'·P. Soriani·A. Van Proeyen
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Abstract

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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M. Billo', R. D'Auria, S. Ferrara, P. Fre', P. Soriani, A. Van Proeyen. 1995-11-03. R-Symmetry and the Topological Twist of N=2 Effective Supergravities of Heterotic Strings. https://doi.org/10.1142/s0217751x97000475

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