Heterotic string compactification on conformal field theories and Calabi-Yau manifolds
The compactification of the Heterotic String from the ten dimensions in which it can consistently propagate down to the four dimensions is observed to be one of the central problems in String Theory. Two such compactification schemes as well as the resulting space of groundstates are discussed in this thesis. First a nongeometric scheme originally formulated by Gepner and then a more geometric approach using Calabi-Yau manifolds is discussed and the connection between them is explored. The first approach bypasses the geometrical construction of the internal sector. Instead, one replaces the coordinate fields and their supersymmetric partners by a general conformally invariant field theory. All Gepner type models are obtained and in each case the spectrum of light particles is calculated. In this list no model with 3 generations is found. However, there are some pairs with the number of generations and anti-generations exchanged. Approaching the problem from the more geometric point of view, some 6,500 new Calabi-Yau manifolds are constructed by looking at hypersurfaces in weighted projective spaces. Using a relation of these manifolds to Landau-Ginzburg theories the number of generations and anti-generations is calculated. The class of models thus obtained turns out to be very interesting in two respects. The symmetry of these models under the interchange of generations and anti-generations is connected to the modding out by discrete symmetries. It is shown that special types of Landau-Ginzburg/Calabi-Yau string compactifications can be described as orbifolds of simpler super-potentials.
- Research Organization:
- Texas Univ., Austin, TX (United States)
- OSTI ID:
- 7206133
- Resource Relation:
- Other Information: Thesis (Ph.D.)
- Country of Publication:
- United States
- Language:
- English
Similar Records
Calabi-Yau manifolds from N =2 Landau-Ginzburg superconformal theories
Landau-Ginzburg to Calabi-Yau dictionary for D-branes
Related Subjects
STRING MODELS
COMPACTIFICATION
CONFORMAL INVARIANCE
MATHEMATICAL MANIFOLDS
QUANTUM FIELD THEORY
SPARTICLES
SUPERSYMMETRY
SYMMETRY
COMPOSITE MODELS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
QUARK MODEL
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)