Duality for the Non-Specialist

Abstract

This is the written version of a series of lectures reviewing the basics of duality as applied to p-forms and sigma-models. The ideas are introduced by way of worked examples, often quite detailed. Our approach is very pedestrian and the presentation is aimed at non-specialists, such as e.g. graduate students.

46 pages, Latex2e with twoside, one eps figure. References added

Cited by in corpus (30)

• Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
• Generalized N=(2,2) Supersymmetric Non-Linear Sigma Models
• Duality for symmetric second rank tensors. II. The linearized gravitational field
• Einstein-Cartan formulation of Chern-Simons Lorentz-violating Gravity
• Dual theories for mixed symmetry fields. Spin-two case: (1,1) versus (2,1) Young symmetry type fields
• Duality of massive gauge invariant theories in arbitrary space-time dimension
• On the duality of massive Kalb-Ramond and Proca fields
• Field theories with higher-group symmetry from composite currents
• Duality in Noncommutative Topologically Massive Gauge Field Theory Revisited
• Dualization of non-Abelian BF model
• Spin-1 duality in $D$-dimensions
• Duality for massive spin two theories in arbitrary dimensions
• Dual Linearised Gravity in Arbitrary Dimensions
• Generalized duality between local vector theories in $D=2+1$
• Dualization of Interacting Theories Including p=d-1 Limiting Cases
• Non-commutative solitons and strong-weak duality
• Generalized sine-Gordon and massive Thirring models
• T-duality and Generalized Complex Geometry
• Duality in supersymmetric $N=2,4$ gauge theories
• New supersymmetric sigma-model duality
• An introduction to perturbative and non-perturbative string theory
• Canonical analysis of Kalb-Ramond-Proca duality
• T-duality in the string theory effective action with a string source
• More on dual actions for massive spin-2 particles
• Comments on Dualities on Group Manifolds and Supersymmetry
• Noncommutative (generalized) sine-Gordon/massive Thirring correspondence, integrability and solitons
• Noncommutative Extension of Minkowski Spacetime and Its Primary Application
• Spacetime Duality and Two-dimensional Gauge Field Theory
• N=(4,4) supersymmetry and T-duality
• Electromagnetic Dualities on Noncommutative Space-Time and Symplectic Formalisms