Orbifold twist-field correlation functions and coset bosonization of parafermions
Two aspects of two-dimensional conformal field theory are developed. Both apply to the physics of string theory, which is a unified theory of gravity and gauge theories. The first topic is the analysis of the twist field correlation functions for Z{sub n} orbifold models on Riemann surfaces of arbitrary genus. Special emphasis is placed on the construction of the abelian differentials which describe the relative semi-locality properties of the twist fields, and on a homology basis of closed loops about the twist fields. The stress tensor method is used to determine correlators from these abelian differentials. This analysis implies that these orbifold models are exactly solvable string compactifications at arbitrary genus. The second portion develops a general method of obtaining information of a non-trivial conformal field theory via an imbedding into a free boson model. In particular, the bosonic representation of Z{sub N} parafermions is obtained via the coset model construction su(N){sub 1}{circle plus} su(N){sub 1}/su(N){sub 2}, and bosonization of the su(N){sub 1} models with a Lorenzian lattice. Correlation functions and characters of these parafermion theories are shown to be calculable without detailed information from the diagonal su(N){sub 2} theory. The parafermion models contain most of the non-trivial information of the su(N){sub 2} group manifold sigma model, and this bosonization technique can extract this information from the simpler su(N){sub 1} theories. Other models for which this process can be applied are also discussed.
- Research Organization:
- Stanford Univ., CA (USA)
- OSTI ID:
- 7103286
- Country of Publication:
- United States
- Language:
- English
Similar Records
Fractional supersymmetry in conformal field theory and string theory
Topics in two dimensional conformal field theory and three dimensional topological lattice field theory
Related Subjects
657000 -- Theoretical & Mathematical Physics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
COMPOSITE MODELS
CONFORMAL GROUPS
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
GRAVITATION
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
QUARK MODEL
STRING MODELS
SYMMETRY GROUPS
UNIFIED-FIELD THEORIES