Duality in Quantum Field Theory (and String Theory)

Abstract

These lectures give an introduction to duality in Quantum Field Theory. We discuss the phases of gauge theories and the implications of the electric-magnetic duality transformation to describe the mechanism of confinement. We review the exact results of N=1 supersymmetric QCD and the Seiberg-Witten solution of N=2 super Yang-Mills. Some of its extensions to String Theory are also briefly discussed.

38 pages, 7 figures, LaTeX, revtex, two references added. Based on a lectures delivered by L. A.-G. at `The Workshop on Fundamental Particles and Interactions', held in Vanderbilt University, and CERN-La Plata-Santiago de Compostela School of Physics, both in May 1997

References in corpus (1)

• (Half) a Lecture on D-branes

Cited by in corpus (21)

• Lectures on D-branes
• String Theory, Supersymmetry, Unification, and All That
• Entropic order parameters for the phases of QFT
• Manifest Duality Invariance for the Partially Massless Graviton
• Dual theories for mixed symmetry fields. Spin-two case: (1,1) versus (2,1) Young symmetry type fields
• Dual Description of Supergravity MacDowell-Mansouri Theory
• M/F-Theory as Mf-Theory
• Dual equivalence in models with higher-order derivatives
• A Type IIB Matrix Model via non-Abelian T-dualities
• Radiative processes as a condensation phenomenon and the physical meaning of deformed canonical structures
• Abelian Duality and Abelian Wilson Loops
• Duality Symmetry in Softly Broken N=2 Gauge Theories
• Les Houches lectures on supersymmetric Gauge Theories
• Dualization between supersymmetric self-dual and topologically massive models coupled to matter in four-dimensional superspace
• Magnetic Monopoles with No Strings Attached: A Portal to the Dark Side of Dual Electrodynamics
• Physical and mathematical evidences for a negative-rank tensor
• Duality considerations about the Maxwell-Podolsky theory through the symplectic embedding formalism and spectrum analysis
• Gauge invariance and dual equivalence of Abelian and non-Abelian actions via dual embedding formalism
• Dualities and models in various dimensions
• Qubits and STU Black Holes with Eight Electric and Magnetic Charges
• Scalar Lie point symmetries of the Standard Model with one or two real gauge singlets