Massless spin-two field S-duality

Abstract

We present a review of the homological algebra tools involved in the standard de Rham theory and their subsequent generalizations relevant for the understanding of free massless higher spin gauge structure. M-theory arguments suggest the existence of an extension of (Abelian) S-duality symmetry for non-Abelian gauge theories, like the four dimensional Yang-Mills or Einstein theories. Some no-go theorems prove that this extension, if it exists, should fall outside the scope of local perturbative field theory.

1+8 pages. Typos, one ref. added. Accepted for publication in Class. Quant. Grav

References in corpus (6)

• Tensor gauge fields in arbitrary representations of GL(D,R) : duality & Poincare lemma
• Free geometric equations for higher spins
• Exotic tensor gauge theory and duality
• Consistent deformations of dual formulations of linearized gravity: A no-go result
• On Massive Mixed Symmetry Tensor Fields in Minkowski Space and (A)dS
• Duality for symmetric second rank tensors.(I): the massive case

Cited by in corpus (19)

• Tensor gauge fields in arbitrary representations of GL(D,R): II. Quadratic actions
• Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons
• Non-linear parent action and dual gravity
• Gauge invariants and Killing tensors in higher-spin gauge theories
• Manifest spin 2 duality with electric and magnetic sources
• Dual actions for massless, partially-massless and massive gravitons in (A)dS
• Mixed-symmetry multiplets and higher-spin curvatures
• Dimensional reduction as a method to obtain dual theories for massive spin two in arbitray dimensions
• Duality for massive spin two theories in arbitrary dimensions
• Couplings between a single massless tensor field with the mixed symmetry (3,1) and one vector field
• Consistent interactions of dual linearized gravity in D=5: couplings with a topological BF model
• No cross-interactions among different tensor fields with the mixed symmetry (3,1) intermediated by a vector field
• Interactions between a massless tensor field with the mixed symmetry of the Riemann tensor and a massless vector field
• Prepotentials for linearized supergravity
• Dual linearized gravity in D=6 coupled to a purely spin-two field of mixed symmetry (2,2)
• Duality-Symmetric Approach to General Relativity and Supergravity
• Rich gauge structures from an unitary approach of some massless gauge fields of spins one and two
• Aspects of electric-magnetic dualities in maximal supergravity
• Yes-go cross-couplings in collections of tensor fields with mixed symmetries of the type (3,1) and (2,2)