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Geometric Model for Complex Non-K�hler Manifolds with SU (3) Structure
Open accessAbstract
For a given complex n-fold M we present an explicit construction of all complex (n+1)-folds which are principal holomorphic T2-fibrations over M. For physical applications we consider the case of M being a Calabi-Yau 2-fold. We show that for such M, there is a subclass of the 3-folds that we construct, which has natural families of non-Kähler SU(3)-structures satisfying the conditions for supersymmetry in the heterotic string theory compactified on the 3-folds. We present examples in the aforementioned subclass with M being a K3-surface and a 4-torus.
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Principles of Algebraic Geometry
Griffiths, P., & Harris, J. (1994) · Wiley · doi:10.1002/9781118032527 · Cited by 6,765
Cited by
Douglas, M. R., & Kachru, S. (2007) · Reviews of Modern Physics · doi:10.1103/revmodphys.79.733 · Cited by 1,122
Four-dimensional string compactifications with D-branes, orientifolds and fluxes
Blumenhagen, R., Körs, B., Lüst, D., & Stieberger, S. (2007) · Physics Reports · doi:10.1016/j.physrep.2007.04.003 · Cited by 890
Metadata
- Authors
- Goldstein, E., & Prokushkin, S.
- Venue
- Communications in Mathematical Physics
- Published
- 2004-09-17
- Volume
- 251
- Issue
- 1
- Pages
- 65-78
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2068196371
- Cited by
- 171
- References
- 1
- FWCI
- 14.89
- Type
- journal article
- Language
- en
- Open access
- green
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- Goldstein, E., & Prokushkin, S. (2004). Geometric Model for Complex Non-K�hler Manifolds with SU (3) Structure. Communications in Mathematical Physics. https://doi.org/10.1007/s00220-004-1167-7
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