The tensor hierarchy simplified

Abstract

A compact formulation of the field-strengths, Bianchi identities and gauge transformations for tensor hierarchies in gauged maximal supergravity theories is given. A key role in the construction is played by the recently-introduced tensor hierarchy algebra.

1+10 pages. v2: clarification of text on page 3 and minor corrections

References in corpus (14)

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Cited by in corpus (21)

• The gauge structure of Exceptional Field Theories and the tensor hierarchy
• Generalised diffeomorphisms for E${}_9$
• Beyond E11
• Tensor hierarchies and Leibniz algebras
• Superalgebras, constraints and partition functions
• Hidden Q-structure and Lie 3-algebra for non-abelian superconformal models in six dimensions
• Exceptional geometry and Borcherds superalgebras
• Tensor hierarchy algebras and extended geometry II: Gauge structure and dynamics
• Forms and algebras in (half-)maximal supergravity theories
• Towards an M5-Brane Model II: Metric String Structures
• $L_{\infty }$ algebras and Tensor Hierarchies in Exceptional Field Theory and Gauged Supergravity
• Tensor hierarchy algebras and extended geometry I: Construction of the algebra
• Tensor hierarchy algebra extensions of over-extended Kac--Moody algebras
• Chern-Simons Actions and Their Gaugings in 4D, N=1 Superspace
• Infinity-enhancing of Leibniz algebras
• Symmetries of M-theory and free Lie superalgebras
• The different faces of branes in Double Field Theory
• All Chern-Simons Invariants of 4D, N = 1 Gauged Superform Hierarchies
• From Lie algebra crossed modules to tensor hierarchies
• Unfolding $E_{11}$
• $E_2{L}_{\infty }$-algebras, Generalized Geometry, and Tensor Hierarchies