Higher-Spin Gauge Fields and Duality

Abstract

We review the construction of free gauge theories for gauge fields in arbitrary representations of the Lorentz group in $D$ dimensions. We describe the multi-form calculus which gives the natural geometric framework for these theories. We also discuss duality transformations that give different field theory representations of the same physical degrees of freedom, and discuss the example of gravity in $D$ dimensions and its dual realisations in detail.

Based on the lecture presented by C.M. Hull at the First Solvay Workshop on Higher-Spin Gauge Theories, held in Brussels on May 12-14, 2004. Minor changes, added references

References in corpus (5)

• Tensor gauge fields in arbitrary representations of GL(D,R) : duality & Poincare lemma
• Exotic tensor gauge theory and duality
• An Introduction to Free Higher-Spin Fields
• Tensor fields of mixed Young symmetry type and N-complexes
• Massive gauge-invariant field theories on spaces of constant curvature

Cited by in corpus (12)

• String Lessons for Higher-Spin Interactions
• Cubic interactions of massless higher spins in (A)dS: metric-like approach
• Higher-Spin Interactions: four-point functions and beyond
• Minimal Local Lagrangians for Higher-Spin Geometry
• Gauge fields in (anti)-de Sitter space and Connections of its symmetry algebra
• String Theory and The Velo-Zwanziger Problem
• (A)dS exchanges and partially-massless higher spins
• From Higher Spins to Strings: A Primer
• "Massive" Higher Spin Multiplets and Holography
• Weyl Action of Two-Column Mixed-Symmetry Field and Its Factorization Around (A)dS Space
• Higher Spins and Current Exchanges
• Duality-Symmetric Approach to General Relativity and Supergravity