Duality in Topological Quantum Field Theories

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.

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

References in corpus (42)

• Large N Field Theories, String Theory and Gravity
• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Supersymmetric Yang-Mills Systems And Integrable Systems
• D-Branes and Topological Field Theories
• Mirror Manifolds And Topological Field Theory
• Dyon - Monopole Bound States, Self-Dual Harmonic Forms on the Multi-Monopole Moduli Space, and SL(2,Z) Invariance in String Theory
• Supersymmetric String Solitons
• Phases of N=1 supersymmetric gauge theories in four dimensions
• Introduction to Superstring Theory
• Superpotentials and Membrane Instantons
• Aspects of N_{T}\geq 2 Topological Gauge Theories and D-Branes
• Calogero-Moser Systems in SU(N) Seiberg-Witten Theory
• Localization and Diagonalization: A review of functional integral techniques for low-dimensional gauge theories and topological field theories
• Reducing $S$- duality to $T$- duality
• Euclidean SYM Theories by Time Reduction and Special Holonomy Manifolds
• Balanced Topological Field Theories
• S-duality in N=4 supersymmetric gauge theories
• N=2 topological gauge theory, the Euler characteristic of moduli spaces, and the Casson invariant
• The Mathai-Quillen Formalism and Topological Field Theory
• On Mass-Deformed N=4 Supersymmetric Yang-Mills Theory
• Exact Electromagnetic Duality
• The Power of Duality -- Exact Results in 4D SUSY Field Theory
• Spectral Curves for Super-Yang-Mills with Adjoint Hypermultiplet for General Lie Algebras
• Localisation of the Donaldson's invariants along Seiberg-Witten classes
• Superconformal invariance and the geography of four-manifolds
• Topological QCD
• Donaldson invariants for nonsimply connected manifolds
• Polynomial Invariants for SU(2) Monopoles
• N=4 Supersymmetric Yang-Mills Theory on a Kaehler Surface
• Les Houches Lectures on Fields, Strings and Duality
• 3-manifold topology and the Donaldson-Witten partition function
• The Vafa-Witten Theory for Gauge Group SU(N)
• Mass Perturbations in Twisted N=4 Supersymmetric Gauge Theories
• Electric-Magnetic Duality and Effective Field Theories
• From Threebranes to Large N Gauge Theories
• New Results in Topological Field Theory and Abelian Gauge Theory
• Notes on Seiberg-Witten Gauge Theory
• Non-abelian Seiberg-Witten theory and projectively stable pairs
• Topological Quantum Field Theory: A Progress Report
• Topological Born-Infeld Actions and D-Branes
• Vassiliev Invariants in the Context of Chern-Simons Gauge Theory
• Duality in the Context of Topological Quantum Field Theory

Cited by in corpus (10)

• Conformal topological Yang-Mills theory and de Sitter holography
• Topological AdS/CFT
• N_T=4 equivariant extension of the 3D topological model of Blau and Thompson
• Noncommutative Cohomological Field Theory and GMS soliton
• Superconformal Quantum Mechanics from M2-branes
• Twisted N=4 Super Yang-Mills Theory in Omega-background
• Topological twisting of conformal supercharges
• Euler number of Instanton Moduli space and Seiberg-Witten invariants
• S-duality and a large N phase transition in N=4 SYM on K3 at strong coupling
• Topological gauge theories with antisymmetric tensor matter fields