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WZW orientifolds and finite group cohomology | Krzysztof Gawedzki
; Rafal R. Suszek
; Konrad Waldorf
; | Date: |
9 Jan 2007 | Abstract: | 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 (zeta g)^{-1}, where zeta is 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 Gamma = 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-Gamma cohomology that we solve for all simple simply-connected compact Lie groups G and all orientifold groups Gamma = Z_2 ltimes Z. | Source: | arXiv, hep-th/0701071 | Services: | Forum | Review | PDF | Favorites |
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