On orbifolds and free fermion constructions
- This work develops the correspondence between orbifolds and free fermion models. A complete classification is obtained for orbifolds X/G with X the product of three elliptic curves and G an abelian extension of a group (Z_2)^2 of twists acting on X. Each such quotient X/G is shown to give a geometric interpretation to an appropriate free fermion model, including the geometric NAHE+ model. However, the semi-realistic NAHE free fermion model is proved to be non-geometric: its Hodge numbers are not reproduced by any orbifold X/G. In particular cases it is shown that X/G can agree with some Borcea-Voisin threefolds, an orbifold limit of the Schoen threefold, and several further orbifolds thereof. This yields free fermion models with geometric interpretations on such special threefolds.
| Author: | Ron Donagi, Katrin WendlandGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-10325 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/1203 |
| Series (Serial Number): | Preprints des Instituts für Mathematik der Universität Augsburg (2008-32) |
| Type: | Preprint |
| Language: | English |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2008/11/21 |
| Tag: | Freifermionkonstruktionen; heterotische Strings free fermion constructions; heterotic strings |
| GND-Keyword: | Zweidimensionale konforme Feldtheorie; Orbifaltigkeit; Superstringtheorie |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
