Classifying orientifolds by flat n-gerbes

Details Classifying orientifolds by flat n-gerbes Classifying orientifolds by flat n-gerbes

2001-06-28

arxiv.org/abs/hep-th/0106267v2

JHEP 0107:010,2001

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, no figures, 35 pages; v2, references added, no other changes, conforms with published version

Scientific paper

10.1088/1126-6708/2001/07/010

The discrete tensorial charges carried by orientifold planes define n-gerbes in space-time. The simplest way to ensure a consistent string compactification is to require these gerbes to be flat. This results in expressions for the local gerbe-holonomies around each orientifold plane, describing its charges. Inverting the procedure and considering all flat gerbes leads to a classification of orientifold configurations. Requiring that the tadpole is cancelled by adding D-branes, we classify all supersymmetric orientifolds on T^k/Z_2 with 2^k O(9-k) planes at the fixed points, for k less or equal to 6. For k=6 these theories organize in orbits of the SL(2,Z) S-duality symmetry of N=4 supersymmetric gauge theories.

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