Aspects of duality

Details Aspects of duality Aspects of duality

1999-08-30

arxiv.org/abs/hep-th/9908199v1

Physics

High Energy Physics

High Energy Physics - Theory

140 pages, PhD thesis March 1999

Scientific paper

This thesis discusses various aspects of duality in quantum field theory and string theory. In the first part we consider duality in topological quantum field theories, concentrating on the Donaldson and Seiberg-Witten theories as (dual) approaches to the study of four-manifolds. Lower-dimensional variants of these theories are also discussed. In the second part of the thesis we discuss duality in 2D sigma models by studying the interplay between renormalization group flows - as generated by the beta functions - and T-duality. The hypothesis put forward in the thesis is that for these to be mutually consistent, they should commute as operators in parameter space. The last part of the thesis bring these subjects into perspective by reviewing some nonperturbative dualities in string theory.

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