The low-energy effective action for perturbative heterotic strings on $K_3 \times T^2$ and the d=4 N=2 vector-tensor multiplet

Details The low-energy effective action for perturbative heterotic strings on $K_3 \times T^2$ and the d=4 N=2 vector-tensor multiplet The low-energy effective action for perturbative heterotic strings on $K_3 \times T^2$ and the d=4 N=2 vector-tensor multiplet

1997-09-17

arxiv.org/abs/hep-th/9709129v2

Nucl.Phys. B524 (1998) 86-128

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, Latex 209, no figures, v2: minor textual changes

Scientific paper

10.1016/S0550-3213(98)00206-5

We consider d=4 N=2 supergravity theories which serve as low-energy effective actions for heterotic strings on K_3 \times T^2. At the perturbative level we construct a new version of the heterotic effective action in which the axion has been traded for an antisymmetric tensor field. In the string frame the antisymmetric tensor doesn't transform under Poincar\'e supersymmetry into the dilaton-dilatini system. This indicates that in this frame the antisymmetric tensor field and the dilaton are not contained in an N=2 vector-tensor multiplet. Instead, we find that the heterotic dilaton is part of a compensating hypermultiplet, whereas the antisymmetric tensor is part of the gravitational multiplet. In order to obtain our results we use superconformal techniques. This enables us to comment on the range of applicability of this particular framework.

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