Classical vs. Landau-Ginzburg geometry of compactification
- Theory Div., CERN, CH-1211 Geneva 23 (CH)
- Cornell Univ., Ithaca, NY (United States). Dept. of Physics
- Inst. Rudjer Boskovic, Zagreb, Croatia (YU)
In this paper, the authors consider superstring compactifications where both the classical description, in terms of a Calabi-Yau manifold, and also the quantum theory is known in terms of a Landau-Ginzburg orbifold model. In particular, the authors study (smooth) Calabi-Yau examples in which there are obstructions to parametrizing all of the complex structure cohomology by polynomial deformations thus requiring the analysis based on exact and spectral sequences. General arguments ensure that the Landau-Ginzburg chiral ring copes with such a situation by having a non-trivial contribution from twisted sectors. Beyond the expected final agreement between the mathematical and physical approaches, the authors find a direct correspondence between the analysis of each, thus giving a more complete mathematical understanding of twisted sectors.
- Sponsoring Organization:
- NSF; National Science Foundation, Washington, DC (United States)
- OSTI ID:
- 7287501
- Journal Information:
- International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 7:20; ISSN 0217-751X; ISSN IMPAE
- Country of Publication:
- United States
- Language:
- English
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71 CLASSICAL AND QUANTUM MECHANICS
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
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COMPACTIFICATION
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FIELD THEORIES
MATHEMATICAL MANIFOLDS
MATHEMATICAL MODELS
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QUANTUM MECHANICS
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