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Duality in Topological Quantum Field Theories

1999/07/15 by Carlos Lozano, Lozano, Carlos · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9907123

Doctoral Thesis, LaTex2e, 157 pages, uses amsmath and epsfig packages, 1 PostScript figure. Revised version: typos corrected, discussion on Vafa-Witten partition function improved

arxiv created 2000/05/06 · arxiv updated 2009/11/30

Abstract

This thesis presents a thorough analysis of the links between the N=4 supersymmetric gauge theory in four dimensions and its three topological twisted counterparts. Special emphasis is put in deriving explicit results in terms of the vacuum structure and low-energy effective description of four-dimensional supersymmetric gauge theories. A key ingredient is the realization of Montonten-Olive duality in the twisted theories, which is discussed in detail from different viewpoints.

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