Discrete Torsion and Shift Orbifolds

Details Discrete Torsion and Shift Orbifolds Discrete Torsion and Shift Orbifolds

2003-02-19

arxiv.org/abs/hep-th/0302152v2

Nucl.Phys. B664 (2003) 21-44

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, LaTeX, 3 figures; v2: references added

Scientific paper

10.1016/S0550-3213(03)00412-7

In this paper we make two observations related to discrete torsion. First, we observe that an old obscure degree of freedom (momentum/translation shifts) in (symmetric) string orbifolds is related to discrete torsion. We point out how our previous derivation of discrete torsion from orbifold group actions on B fields includes these momentum lattice shift phases, and discuss how they are realized in terms of orbifold group actions on D-branes. Second, we describe the M theory dual of IIA discrete torsion, a duality relation to our knowledge not previously understood. We show that IIA discrete torsion is encoded in analogues of the shift orbifolds above for the M theory C field.

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