E(11) and the Embedding Tensor

Abstract

We show how, using different decompositions of E(11), one can calculate the representations under the duality group of the so--called "de-form" potentials. Evidence is presented that these potentials are in one-to-one correspondence to the embedding tensors that classify the gaugings of all maximal gauged supergravities. We supply the computer program underlying our calculations.

16 pages, 13 tables; fixed typos, changed to JHEP style

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• String Solitons and T-duality
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• E(11)-extended spacetime and gauged supergravities
• Kac-Moody Spectrum of (Half-)Maximal Supergravities
• The gauge structure of Exceptional Field Theories and the tensor hierarchy
• The Gaugings of Maximal D=6 Supergravity
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• D-Brane Wess-Zumino Terms and U-Duality
• N=8 Supergravity with Local Scaling Symmetry
• Branes and wrapping rules
• The tensor hierarchy algebra
• Non-linear parent action and dual gravity
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• The tensor hierarchy simplified
• Twin Supergravities
• Supersymmetric Domain Walls
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• E11, generalised space-time and equations of motion in four dimensions
• Heterotic wrapping rules
• Superalgebras, constraints and partition functions
• E11 must be a symmetry of strings and branes
• A brief review of E theory
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• Galilean free Lie algebras
• Local E(11)
• On the E10/Massive Type IIA Supergravity Correspondence
• Generalised Space-time and Gauge Transformations
• Branes, Weights and Central Charges
• Exceptional geometry and Borcherds superalgebras
• Real forms of very extended Kac-Moody algebras and theories with eight supersymmetries
• Tensor Hierarchies of 5- and 6-Dimensional Field Theories
• Exotic branes in Exceptional Field Theory: the SL(5) duality group
• Forms and algebras in (half-)maximal supergravity theories
• Supergravity and M-Theory
• A Note on E11 and Three-dimensional Gauged Supergravity
• Maximal supergravity in D=10: forms, Borcherds algebras and superspace cohomology
• Duality Symmetries and G^{+++} Theories
• E10 and Gauged Maximal Supergravity
• U-gravity : $\mathbf{SL}(N)$
• E11 and Supersymmetry
• Generalising G${}_{\text{2}}$ geometry: involutivity, moment maps and moduli
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• Local E(11) and the gauging of the trombone symmetry
• Integral forms of Kac-Moody groups and Eisenstein series in low dimensional supergravity theories
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• Bound States of String Theory and Beyond
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• Nonabelian embedding tensors
• Higher dualisations of linearised gravity and the $A_1^{+++}$ algebra
• Space-filling branes & gaugings
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• Complexity and the Big Bang
• Iwasawa nilpotency degree of non compact symmetric cosets in N-extended Supergravity
• The emergence of fermions and the E11 content
• Unfolding $E_{11}$
• The very-extended trombone
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• Aspects of electric-magnetic dualities in maximal supergravity
• Hidden Symmetries of M-Theory and Its Dynamical Realization
• Exotic branes and mixed-symmetry potentials I: predictions from $E_{11}$ symmetry
• N-Extended Lorentzian Kac-Moody algebras
• Massive Type IIA Supergravity and E10
• Flux Backgrounds and Exceptional Generalised Geometry
• Kac-Moody algebras and the cosmological constant
• Gaugings and other aspects in supergravity