Chiral tensors of mixed Young symmetry

2016/12/31 by Marc Henneaux, Victor Lekeu, Amaury Leonard · 2 citations
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Chiral anomaly #Chiral symmetry #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Effective action #Equations of motion #Geometry #Local symmetry #Mathematical physics #Mathematics #Motion (physics) #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Space (punctuation) #Spacetime #Symmetry (geometry) #Tensor (intrinsic definition) #Theoretical physics #hep-th

paper · pdf · doi:10.1103/physrevd.95.084040

published as Phys. Rev. D 95, 084040 (2017) · Expanded version with 3 appendices providing explicit proofs of central results

arxiv created 2017/04/04 · openalex publication_date 2017/04/24 · arxiv updated 2017/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Chiral tensors of mixed Young symmetry, which exist in the same spacetime dimensions 2+4n where chiral p forms can be defined, are investigated. Such chiral tensors have been argued to play a central role in exotic formulations of gravity in six dimensions and possess intriguing properties. A variational principle that yields the chiral equations of motion is explicitly constructed and related to the action for a nonchiral tensor. The use of prepotentials turns out to be essential in our analysis. We also comment on dimensional reduction.

Citations

• Comments on Chiral p-Forms
• Higher spin gauge theories in any dimension
• Duality in gravity and higher spin gauge fields
• On geometric equations and duality for free higher spins
• Tensor Gauge Fields in Arbitrary Representations of GL(D, ?). Duality and Poincar� Lemma
• Strongly coupled gravity and duality
• Duality, self-duality, sources and charge quantization in abelian N-form theories
• Generalized gauge fields
• Self-dual fields as charge-density solitons
• Covariant action for type IIB supergravity

Cited by

• Aspects of electric-magnetic dualities in maximal supergravity
• Duality Anomalies in Linearized Gravity

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