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E_11 and M Theory
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We argue that eleven dimensional supergravity can be described by a non-linear realisation based on the group E_{11}. This requires a formulation of eleven dimensional supergravity in which the gravitational degrees of freedom are described by two fields which are related by duality. We show the existence of such a description of gravity.
Forward citations
Cited by 10 Pith papers
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On a new class of high-corank Kac-Moody algebras
Recursive multigraph-based constructions produce families of generalized Cartan matrices with exponentially growing coranks for Kac-Moody algebras, with explicit spectra computed via adjacency eigenvalue multiplicity.
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Covariant quantization of totally antisymmetric tensor-spinor field in $AdS_d$
The BV quantization of the reducible fermionic p-form gauge theory in AdS_d gives Z(p) as a product over functional determinants of Dirac-like operators with degree-dependent masses.
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Exotic branes and mixed-symmetry potentials II: Duality rules and exceptional $p$-form gauge fields
Mixed-symmetry potentials such as the dual graviton are embedded into exceptional field theory's p-form multiplets, with T- and S-duality rules derived for the E8 case.
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Duality-covariant particles and exotic branes
Proposes enlarged worldline models with coadjoint orbit terms and generalized worldvolume theories for exotic branes that make E8 duality covariance manifest in a Hamiltonian formulation.
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Closed string trajectories from a new "tiling"
A method constructs closed string trajectories from open string seeds dressed by symplectic algebra generators via Howe duality, with physical states identified by solving Diophantine recursion relations.
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From Tensor Algebras to Hyperbolic Kac-Moody Algebras
Simultaneous mutually commuting coset Virasoro actions are realized on the tensor algebra of the Feingold-Frenkel algebra, giving explicit decompositions and tensor ground states up to level five.
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Tensor global symmetries and the Stueckelberg mechanism for tensor fields
The authors construct Stueckelberg completions for massive mixed-symmetry tensor fields and derive mixed-symmetry currents and a 't Hooft anomaly for linearized gravity, but a sign error invalidates the (2,1) current ...
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Super-$\mathrm{Lie}_\infty$ T-Duality and M-Theory
The M-algebra is shown to be the brane-charge completion of the fully T-doubled super-spacetime, with the Poincaré super 2-form of T-duality lifted to a Poincaré super 3-form.
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A unified approach to standard and exotic dualizations through graded geometry
A single two-parameter first-order action in graded geometry generates the known standard, exotic and double dualizations for p-forms and (p,1) mixed-symmetry tensors such as the graviton and Curtright field.
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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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