Unfolding $E_{11}$

Abstract

We work out the unfolded formulation of the fields in the non-linear realisation of $E_{11}$. Using the connections in this formalism, we propose, at the linearised level, an infinite number of first-order duality relations between the dual fields in $E_{11}$. In this way, we introduce extra fields that do not belong to $E_{11}$ and we investigate their origin. The equations of motion of the fields are obtained by taking derivatives and higher traces of the duality relations.

92 pages, 9 tables

References in corpus (61)

• Nonlinear higher spin theories in various dimensions
• xTras: a field-theory inspired xAct package for Mathematica
• Gauged maximal supergravities and hierarchies of nonabelian vector-tensor systems
• The E_{11} origin of all maximal supergravities
• Gauged Supergravities, Tensor Hierarchies, and M-Theory
• The maximal D=5 supergravities
• E(11) and the Embedding Tensor
• Hidden symmetries and the fermionic sector of eleven-dimensional supergravity
• Frame-like Actions for Massless Mixed-Symmetry Fields in Minkowski space
• Mixed-Symmetry Massless Fields in Minkowski space Unfolded
• E(11)-extended spacetime and gauged supergravities
• Dual fields and E_{11}
• K(E10), Supergravity and Fermions
• E11 in 11D
• An E9 multiplet of BPS states
• Pure spinor superfields -- an overview
• The tensor hierarchy algebra
• Generalised geometry, eleven dimensions and E11
• Beyond E11
• Non-linear parent action and dual gravity
• The E(11) origin of all maximal supergravities - the hierarchy of field-strengths
• Frame-like Actions for Massless Mixed-Symmetry Fields in Minkowski space. Fermions
• Extended geometries
• Tensor hierarchies, Borcherds algebras and E11
• A master exceptional field theory
• The tensor hierarchy simplified
• Dual Double Field Theory
• On supersymmetric E11 exceptional field theory
• Off-shell Gauge Fields from BRST Quantization
• E11, generalised space-time and equations of motion in four dimensions
• Off-Shell Hodge Dualities in Linearised Gravity and E11
• E11 must be a symmetry of strings and branes
• IIA and IIB spinors from K(E10)
• A brief review of E theory
• Generalised Space-time and Gauge Transformations
• Exceptional geometry and Borcherds superalgebras
• Tensor hierarchy algebras and extended geometry II: Gauge structure and dynamics
• $L_{\infty }$ algebras for extended geometry from Borcherds superalgebras
• Supergravity in the group-geometric framework: a primer
• Tensor hierarchy algebras and extended geometry I: Construction of the algebra
• E11, Romans theory and higher level duality relations
• Tensor hierarchy algebra extensions of over-extended Kac--Moody algebras
• E11 and Supersymmetry
• Generalised vielbeins and non-linear realisations
• Flux Quantization on 11-dimensional Superspace
• Oxidizing Borcherds symmetries
• E11 and the non-linear dual graviton
• On the different formulations of the E11 equations of motion
• The non-linear dual gravity equation of motion in eleven dimensions
• Irreducible representations of E theory
• Presymplectic gauge PDEs and Lagrangian BV formalism beyond jet-bundles
• Relation between standard and exotic duals of differential forms
• Higher spins from exotic dualisations
• Gravity, Dual Gravity and A1+++
• The massless irreducible representation in E theory and how bosons can appear as spinors
• Higher dualisations of linearised gravity and the $A_1^{+++}$ algebra
• Spacetime and large local transformations
• E theory in seven dimensions
• $L_{\infty }$ algebras for extended geometry
• Borcherds and Kac-Moody extensions of simple finite-dimensional Lie algebras
• Tensor hierarchy algebras and restricted associativity

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