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The tensor hierarchy simplified
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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.
Forward citations
Cited by 4 Pith papers
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Gauged Extended Field Theory and Generalised Cartan Geometry
A systematic Cartan-geometric construction of linearised torsion and curvature hierarchies for generalised geometries with global duality group G and local gauge group H, realised via brane current algebras.
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Tensor hierarchy algebras and extended geometry II: Gauge structure and dynamics
The gauge structure and pseudo-action of extended geometry with ancillary transformations are encoded by a tensor hierarchy algebra S(g+), yielding a partial L-infinity description for finite-dimensional structure groups.
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Tensor hierarchy algebras and extended geometry I: Construction of the algebra
This paper constructs tensor hierarchy algebras W(g+) and S(g+) for Kac-Moody extensions of finite-dimensional simply laced Lie algebras and gives their local module content, with a companion representation identity t...
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Towards an M5-Brane Model II: Metric String Structures
Adjusted Weil algebras for skeletal and loop models of the string Lie 2-algebra and their metric extensions yield local metric string structure connections whose gauge transformations close without fake flatness, matc...
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