Generalised discrete torsion and mirror symmetry for G2manifolds | Zendy

Matthias R. Gaberdiel | Zendy; Peter Kaste | Zendy

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Generalised discrete torsion and mirror symmetry for G₂manifolds

Author(s) -

Matthias R. Gaberdiel,

Peter Kaste

Publication year - 2004

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2004/08/001

Subject(s) - orbifold , torsion (gastropod) , twist , mirror symmetry , pure mathematics , mathematics , conformal map , automorphism , conformal field theory , compactification (mathematics) , homogeneous space , theoretical physics , algebra over a field , physics , geometry , medicine , surgery

A generalisation of discrete torsion is introduced in which differentdiscrete torsion phases are considered for the different fixed points or twistfields of a twisted sector. The constraints that arise from modular invarianceare analysed carefully. As an application we show how all the differentresolutions of the T^7/Z_2^3 orbifold of Joyce have an interpretation in termsof such generalised discrete torsion orbifolds. Furthermore, we show that thesemanifolds are pairwise identified under G_2 mirror symmetry. From a conformalfield theory point of view, this mirror symmetry arises from an automorphism ofthe extended chiral algebra of the G_2 compactification.Comment: LaTeX, 25 pages, 1 figure; v2: one reference added and comment about higher loop modular invariance corrected, version to be publishe

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