Dirichlet Joyce Manifolds, Discrete Torsion and Duality

Details Dirichlet Joyce Manifolds, Discrete Torsion and Duality Dirichlet Joyce Manifolds, Discrete Torsion and Duality

1996-11-06

arxiv.org/abs/hep-th/9611036v1

Nucl.Phys. B492 (1997) 591-606

Physics

High Energy Physics

High Energy Physics - Theory

22 Pages, Latex

Scientific paper

10.1016/S0550-3213(97)00163-6

Using U-duality transformations we map perturbative Type IIA string theory compactified on a class of Joyce 7-manifolds to a D-strings on D-manifold description in Type IIB theory. For perturbative Type IIB theory on the same class of Joyce manifolds we use duality transformations to map to an M-theory, M-manifold description, which is an orientifold with fivebrane twisted sectors. D and M-manifold descriptions of discrete torsion are found. For the same class of compactifications we show that Type IIA/IIB theory on a Joyce orbifold without (with) discrete torsion is T-dual to Type IIB/IIA theory on the same orbifold with (without) discrete torsion. For this class of Type II compactifications this proves an extension of the Papadopoulos-Townsend conjecture, which states that the Type IIA and IIB theories compactified on the same Joyce 7-manifold are equivalent. Finally we note that the Papadopoulos-Townsend conjecture is a special case of the Generalised Mirror Conjecture.

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