Classifying orientifolds by flat n-gerbes
arXiv:hep-th/0106267 · doi:10.1088/1126-6708/2001/07/010
Abstract
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.
LaTeX, no figures, 35 pages; v2, references added, no other changes, conforms with published version
References in corpus (1)
Cited by in corpus (11)
- Dimers and Orientifolds
- Orientifold planes, affine algebras and magnetic monopoles
- Curvature corrections and Kac-Moody compatibility conditions
- Dirichlet Branes on Orientifolds
- Discrete moduli for Type I compactifications
- Instantonic Branes, Atiyah-Hirzebruch Spectral Sequence, and SL(2,Z) duality of N=4 SYM
- Branes and Fluxes in Orientifolds and K-theory
- Forms on Vector Bundles Over Compact Real Hyperbolic Manifolds
- Gravitational couplings of orientifold planes
- Topological Quantum Field Theory on Non-Abelian Gerbes
- Sign choices for orientifolds