Duality in gravity and higher spin gauge fields

2001/07/31 by C. M. Hull, Christopher M Hull · 13 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Duality (order theory) #Einstein #Gauge (firearms) #Gauge theory #Introduction to gauge theory #Lorentz covariance #Lorentz transformation #Quantum and Classical Electrodynamics #Seiberg duality #Spin (aerodynamics) #hep-th

paper · pdf · doi:10.1088/1126-6708/2001/09/027

published as JHEP 0109:027,2001 · 33 pages. References added

arxiv created 2001/09/03 · openalex publication_date 2001/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Dual field theory realisations are given for linearised gravity in terms of gauge fields in exotic representations of the Lorentz group. The field equations and dual representations are discussed for a wide class of higher spin gauge fields. For non-linear Einstein gravity, such transformations can be implemented locally in light-cone gauge, or partially implemented in the presence of a Killing vector. Sources and the relation to Kaluza-Klein monopoles are discussed.

Cited by

• Geometric second order field equations for general tensor gauge fields
• A Unified Approach to Standard and Exotic Dualizations Through Graded Geometry
• Gravitational duality transformations on (A)dS4
• Duality Anomalies in Linearized Gravity
• Partially massless monopoles and charges
• Consistent deformations of dual formulations of linearized gravity: A no-go result
• The action of the (free) (4, 0)-theory
• Prepotentials for linearized supergravity
• Dimensional reduction as a method to obtain dual theories for massive spin two in arbitrary dimensions
• Rich gauge structures from a unitary approach of some massless gauge fields of spins one and two
• No cross-interactions among different tensor fields with the mixed symmetry (3, 1) intermediated by a vector field
• Chiral tensors of mixed Young symmetry
• Montonen–Olive duality [wikipedia]