Generalised discrete torsion and mirror symmetry for G_2 manifolds

Details Generalised discrete torsion and mirror symmetry for G_2 manifolds Generalised discrete torsion and mirror symmetry for G_2 manifolds

2004-01-19

arxiv.org/abs/hep-th/0401125v2

JHEP 0408:001,2004

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 25 pages, 1 figure; v2: one reference added and comment about higher loop modular invariance corrected, version to be p

Scientific paper

10.1088/1126-6708/2004/08/001

A generalisation of discrete torsion is introduced in which different discrete torsion phases are considered for the different fixed points or twist fields of a twisted sector. The constraints that arise from modular invariance are analysed carefully. As an application we show how all the different resolutions of the T^7/Z_2^3 orbifold of Joyce have an interpretation in terms of such generalised discrete torsion orbifolds. Furthermore, we show that these manifolds are pairwise identified under G_2 mirror symmetry. From a conformal field theory point of view, this mirror symmetry arises from an automorphism of the extended chiral algebra of the G_2 compactification.

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