Abelian Tensor Hierarchy in 4D, N=1 Superspace

Abstract

With the goal of constructing the supersymmetric action for all fields, massless and massive, obtained by Kaluza-Klein compactification from type II theory or M-theory in a closed form, we embed the (Abelian) tensor hierarchy of p-forms in four-dimensional, N=1 superspace and construct its Chern-Simons-like invariants. When specialized to the case in which the tensors arise from a higher-dimensional theory, the invariants may be interpreted as higher-dimensional Chern-Simons forms reduced to four dimensions. As an application of the formalism, we construct the eleven-dimensional Chern-Simons form in terms of four-dimensional, N=1 superfields.

arXiv comment31 pages

References in corpus (13)

• Comments on string theory backgrounds with non-relativistic conformal symmetry
• Consistent supersymmetric Kaluza--Klein truncations with massive modes
• Gauged maximal supergravities and hierarchies of nonabelian vector-tensor systems
• Super-Weyl invariance in 5D supergravity
• On Five-dimensional Superspaces
• Anomalous Magnetic Properties of Sr2YRuO6
• Five-dimensional Superfield Supergravity
• Six-dimensional Supergravity and Projective Superfields
• Six-dimensional superconformal couplings of non-abelian tensor and hypermultiplets
• The ${\alpha }^{\prime }$ Expansion On A Compact Manifold Of Exceptional Holonomy
• Field Strengths of Linearized 5D, N = 1 Superfield Supergravity On a 3-Brane
• N=1 superfield description of vector-tensor couplings in six dimensions
• Kaluza-Klein Theories Without Truncation

Cited by in corpus (15)

• Topological order in a color-flavor locked phase of $(3+1)$-dimensional $U(N)$ gauge-Higgs system
• Effective action from M-theory on twisted connected sum $G_2$-manifolds
• Eleven-Dimensional Supergravity in 4D, $N=1$ Superspace
• U(1) symmetric $\alpha$-attractors
• Chern-Simons Actions and Their Gaugings in 4D, N=1 Superspace
• Topological couplings in higher derivative extensions of supersymmetric three-form gauge theories
• Abelian tensor hierarchy in 4D $\mathcal{N}=1$ conformal supergravity
• Five-dimensional Supergravity in N = 1/2 Superspace
• M-theory Potential from the $G_2$ Hitchin Functional in Superspace
• All Chern-Simons Invariants of 4D, N = 1 Gauged Superform Hierarchies
• N=1 Supercurrents of Eleven-dimensional Supergravity
• Abelian tensor hierarchy and Chern-Simons actions in 4D N=1 conformal supergravity
• Components of Eleven-dimensional Supergravity with Four Off-shell Supersymmetries
• 4D N=1 Kaluza-Klein superspace
• Linearized Off-shell 4+7 Supergeometry of 11D Supergravity