N-Complexes and Higher Spin Gauge Fields
arXiv:0808.1975 · doi:10.1142/S0219887808003302
Abstract
-complexes have been argued recently to be algebraic structures relevant to the description of higher spin gauge fields. -complexes involve a linear operator that fulfills and that defines a generalized cohomology. Some elementary properties of -complexes and the evidence for their relevance to the description of higher spin gauge fields are briefly reviewed.
Presented at the International Workshop "Differential Geometry, Noncommutative Geometry, Homology and Fundamental Interactions" in honour of Michel Dubois-Violette, Orsay, April 8-10, 2008
References in corpus (12)
- E_11 and M Theory
- E10 and a "small tension expansion" of M Theory
- Inconsistency of interacting, multi-graviton theories
- Higher Spin Gauge Theories in Various Dimensions
- Tensor gauge fields in arbitrary representations of GL(D,R) : duality & Poincare lemma
- Free geometric equations for higher spins
- On the geometry of higher-spin gauge fields
- On geometric equations and duality for free higher spins
- Spacelike Singularities and Hidden Symmetries of Gravity
- Tensor fields of mixed Young symmetry type and N-complexes
- Higher Spin Gauge Theories in Any Dimension
- Generalized differential spaces with and the -differential calculus