WZW orientifolds and finite group cohomology
| dc.creator | Gawedzki, Krzysztof | |
| dc.creator | Suszek, Rafal R. | |
| dc.creator | Waldorf, Konrad | |
| dc.date | 2007-01-09 | |
| dc.date.accessioned | 2026-07-07T11:59:37Z | |
| dc.date.available | 2026-07-07T11:59:37Z | |
| dc.description | The simplest orientifolds of the WZW models are obtained by gauging a Z_2 symmetry group generated by a combined involution of the target Lie group G and of the worldsheet. The action of the involution on the target is by a twisted inversion g \mapsto (ζg)^{-1}, where ζis an element of the center of G. It reverses the sign of the Kalb-Ramond torsion field H given by a bi-invariant closed 3-form on G. The action on the worldsheet reverses its orientation. An unambiguous definition of Feynman amplitudes of the orientifold theory requires a choice of a gerbe with curvature H on the target group G, together with a so-called Jandl structure introduced in hep-th/0512283. More generally, one may gauge orientifold symmetry groups Γ= Z_2 \ltimes Z that combine the Z_2-action described above with the target symmetry induced by a subgroup Z of the center of G. To define the orientifold theory in such a situation, one needs a gerbe on G with a Z-equivariant Jandl structure. We reduce the study of the existence of such structures and of their inequivalent choices to a problem in group-Γcohomology that we solve for all simple simply-connected compact Lie groups G and all orientifold groups Γ= Z_2 \ltimes Z. | |
| dc.description | 48+1 pages, 11 figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/0701071 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0701071 | |
| dc.identifier | Commun.Math.Phys.284:1-49,2008 | |
| dc.identifier | doi:10.1007/s00220-008-0525-2 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/206627 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Differential Geometry | |
| dc.title | WZW orientifolds and finite group cohomology | |
| dc.type | text |