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Title: Strings and two-dimensional field theories

Thesis/Dissertation ·
OSTI ID:5244110

In part I, the authors shows that the chiral zero modes of fermions coupled to an axionic string provide a physical realization of covariant gauge and gravitational anomalies in two dimensions. He develops a bosonized description of the chiral currents on the string, which allows us to treat the interactions of the zero modes with external fields. He uses this framework to calculate the scattering of electromagnetic waves off the string and to exhibit the quantization of charge of a closed axionic string bounding a domain wall. One-loop partition functions of rational conformal field theories are finite linear combinations of modular invariants associated with projective modular functions of a modular subgroup. In part II, he shows that, for normal subgroups with genus zero fundamental region, the functions which lead to physically acceptable partition functions are extremely limited in number, and can be found explicitly. He also shows that the conformal charge and weights of theories which factorize on these subgroups can only take on certain discrete values.

Research Organization:
Princeton Univ., NJ (USA)
OSTI ID:
5244110
Resource Relation:
Other Information: Thesis (Ph. D.)
Country of Publication:
United States
Language:
English