Dual fields and \(E_{11}\)

DOI10.1016/j.physletb.2006.12.050zbMath1256.83032arXivhep-th/0612001OpenAlexW2067380850MaRDI QIDQ1938105

Fabio Riccioni, Peter C. West

Publication date: 3 February 2013

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0612001

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) String and superstring theories in gravitational theory (83E30) Supergravity (83E50) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items (31)

Gravitational coset models ⋮ The non-linear dual gravity equation of motion in eleven dimensions ⋮ Oxidizing Borcherds symmetries ⋮ Gauge fields and infinite chains of dualities ⋮ Non-geometric fluxes and mixed-symmetry potentials ⋮ The very-extended trombone ⋮ Space-filling branes \& gaugings ⋮ Tensor Galileons and gravity ⋮ Mysterious triality and rational homotopy theory ⋮ Subsectors, Dynkin diagrams and new generalised geometries ⋮ Higher dualisations of linearised gravity and the \(A_1^{+++}\) algebra ⋮ \(E_{10}\) and gauged maximal supergravity ⋮ Real forms of extended Kac-Moody symmetries and higher spin gauge theories ⋮ Non-propagating degrees of freedom in supergravity and very extended \(G_{2}\) ⋮ Defect branes ⋮ String solitons and T-duality ⋮ Counting supersymmetric branes ⋮ \(L_{\infty}\) algebras and tensor hierarchies in exceptional field theory and gauged supergravity ⋮ Beyond \(E_{11}\) ⋮ Spacelike singularities and hidden symmetries of gravity ⋮ Exotic branes in exceptional field theory: the SL(5) duality group ⋮ Higher spins from exotic dualisations ⋮ On supersymmetric \(E_{11}\) exceptional field theory ⋮ Off-shell Hodge dualities in linearised gravity and \(E_{11}\) ⋮ Weaving the exotic web ⋮ Timelike U-dualities in generalised geometry ⋮ A master exceptional field theory ⋮ Supergravity and M-theory ⋮ Duality invariant actions and generalised geometry ⋮ Bound states of string theory and beyond ⋮ A note on the double dual graviton

Cites Work

• A class of Lorentzian Kac-Moody algebras
• Infinite dimensional Lie algebras. An introduction
• E ₁₁ and M theory
• <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>E</mml:mi><mml:mn>10</mml:mn></mml:msub></mml:math>and a Small Tension Expansion of M Theory
• Very extended E ₈ and A ₈ at low levels, gravity and supergravity
• Coset symmetries in dimensionally reduced bosonic string theory

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