Duality Transformations in Supersymmetric Yang-Mills Theories coupled to Supergravity,

Details Duality Transformations in Supersymmetric Yang-Mills Theories coupled to Supergravity, Duality Transformations in Supersymmetric Yang-Mills Theories coupled to Supergravity,

1995-02-13

arxiv.org/abs/hep-th/9502072v2

Nucl.Phys. B444 (1995) 92-124

Physics

High Energy Physics

High Energy Physics - Theory

41 pages, harvmac, no figures. References added, and minor printing error corrected.

Scientific paper

10.1016/0550-3213(95)00175-R

We consider duality transformations in N=2, d=4 Yang--Mills theory coupled to N=2 supergravity. A symplectic and coordinate covariant framework is established, which allows one to discuss stringy `classical and quantum duality symmetries' (monodromies), incorporating T and S dualities. In particular, we shall be able to study theories (like N=2 heterotic strings) which are formulated in symplectic basis where a `holomorphic prepotential' F does not exist, and yet give general expressions for all relevant physical quantities. Duality transformations and symmetries for the N=1 matter coupled Yang--Mills supergravity system are also exhibited. The implications of duality symmetry on all N>2 extended supergravities are briefly mentioned. We finally give the general form of the central charge and the N=2 semiclassical spectrum of the dyonic BPS saturated states (as it comes by truncation of the N=4 spectrum).

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