Calabi-Yau manifolds, Landau-Ginzburg orbifolds and mirror symmetry

Miscellaneous · Fri Jan 01 00:00:00 EST 1993

OSTI ID:6974084

Berglund, N P.G.

When compactifying the ten-dimensional heterotic string theory to the four-dimensional spacetime the extra degrees of freedom has to form an N=2 superconformal field theory. One way of realization is in terms of Calabi-Yau manifolds of complex dimension three. An alternative description is as N=2 superconformal Landau-Ginzburg models. This thesis will use both of these compactification schemes in studying properties of the heterotic string vacua. The author develops a method for describing the massless spectrum in one and the same framework for any complete intersection Calabi-Yau threefold. This geometric approach, though classical, is in one to one correspondence with the Landau-Ginzburg formalism. A technique is then given which generalizes the way in which one obtained mirror manifolds to a much larger class of theories than the original construction. By combining mirror symmetry with the correspondence between Calabi-Yau manifolds and the Landau-Ginzburg models, a better understanding of the ring structure of the complete set of marginal deformations and the associated moduli space is gained. In particular, the author is able to verify certain predictions made by mirror symmetry for a large class of string vacua. Finally, the author takes a step towards a better understanding of how to have a spacetime interpretation of an N=2 Landau-Ginzburg orbifold with n>5 superfields, i.e. how to associate a non-linear [sigma]-model to these string vacua.

• Research Organization: Texas Univ., Austin, TX (United States)
• OSTI ID: 6974084
• Resource Relation: Other Information: Thesis (Ph.D.)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
STRING MODELS
COMPACTIFICATION
CONFORMAL GROUPS
GINZBURG-LANDAU THEORY
MATHEMATICAL MANIFOLDS
SPACE-TIME
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
QUARK MODEL
SYMMETRY GROUPS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)