Generalized cohomology for irreducible tensor fields of mixed Young symmetry type

DOI10.1023/A:1007658600653zbMath1096.18503arXivmath/9907135OpenAlexW1804714334WikidataQ59307769 ScholiaQ59307769MaRDI QIDQ1971969

Marc Henneaux, Michel Dubois-Violette

Publication date: 1999

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9907135

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Differential forms in global analysis (58A10)

Related Items

Gravitational coset models ⋮ Higher-derivative massive actions from dimensional reduction ⋮ Three-dimensional conformal geometry and prepotentials for four-dimensional fermionic higher-spin fields ⋮ Manifest duality for partially massless higher spins ⋮ Higher spin conformal geometry in three dimensions and prepotentials for higher spin gauge fields ⋮ Weyl action of two-column mixed-symmetry field and its factorization around (A)dS space ⋮ The action of the (free) \(N=(3,1)\) theory in six spacetime dimensions ⋮ New classes of bi-axially symmetric solutions to four-dimensional Vasiliev higher spin gravity ⋮ Gravity as a gapless phase and biform symmetries ⋮ A unified approach to standard and exotic dualizations through graded geometry ⋮ Tensor Galileons and gravity ⋮ Geometry and dynamics of higher-spin frame fields ⋮ General Lagrangian formulation for higher spin fields with arbitrary index symmetry. I. Bosonic fields ⋮ \({\mathsf{N}}\)-complexes as functors, amplitude cohomology and fusion rules ⋮ Half-integer higher spin fields in (A)dS from spinning particle models ⋮ Dual theories for mixed symmetry fields. Spin-two case: \((1,1)\) versus \((2,1)\) Young symmetry type fields ⋮ Interactions of a massless tensor field with the mixed symmetry of the Riemann tensor. No-go results ⋮ Higher-spin fermionic gauge fields and their electromagnetic coupling ⋮ N-COMPLEXES AND HIGHER SPIN GAUGE FIELDS ⋮ TERNARY AND NON-ASSOCIATIVE STRUCTURES ⋮ PARASTATISTICS ALGEBRA, YOUNG TABLEAUX AND THE SUPER PLACTIC MONOID ⋮ Prepotentials for linearized supergravity ⋮ Inconsistency of interacting, multi-graviton theories ⋮ Noether symmetries, energy–momentum tensors, and conformal invariance in classical field theory ⋮ A note on the double dual graviton ⋮ Homogeneous algebras.