Discrete Torsion in Singular G_2-Manifolds and Real LG
| dc.creator | Roiban, Radu | |
| dc.creator | Romelsberger, Christian | |
| dc.creator | Walcher, Johannes | |
| dc.date | 2002-03-28 | |
| dc.date | 2003-12-26 | |
| dc.date.accessioned | 2026-07-07T04:13:19Z | |
| dc.date.available | 2026-07-07T04:13:19Z | |
| dc.description | We investigate strings at singularities of G_2-holonomy manifolds which arise in Z_2 orbifolds of Calabi-Yau spaces times a circle. The singularities locally look like R^4/Z_2 fibered over a SLAG, and can globally be embedded in CICYs in weighted projective spaces. The local model depends on the choice of a discrete torsion in the fibration, and the global model on an anti-holomorphic involution of the Calabi-Yau hypersurface. We determine how these choices are related to each other by computing a Wilson surface detecting discrete torsion. We then follow the same orbifolds to the non-geometric Landau-Ginzburg region of moduli space. We argue that the symmetry-breaking twisted sectors are effectively captured by real Landau-Ginzburg potentials. In particular, we find agreement in the low-energy spectra of strings computed from geometry and Gepner-model CFT. Along the way, we construct the full modular data of orbifolds of N=2 minimal models by the mirror automorphism, and give a real-LG interpretation of their modular invariants. Some of the models provide examples of the mirror-symmetry phenomenon for G_2 holonomy. | |
| dc.description | 71 pages, 4 figures, refs added, signs fixed | |
| dc.identifier | https://arxiv.org/abs/hep-th/0203272 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0203272 | |
| dc.identifier | Adv.Theor.Math.Phys. 6 (2003) 207-278 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51218 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Discrete Torsion in Singular G_2-Manifolds and Real LG | |
| dc.type | text |