Higher dualisations of linearised gravity and the \(A_1^{+++}\) algebra

DOI10.1007/JHEP12(2022)152OpenAlexW4312213858WikidataQ125131375 ScholiaQ125131375MaRDI QIDQ2694421

Nicolas Boulanger, Paul P. Cook, Josh A. O'Connor, Peter C. West

Publication date: 3 April 2023

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.11501

zbMATH Keywords

M-theorygauge symmetryhigher spin symmetry

Mathematics Subject Classification ID

Quantum theory (81-XX)

Uses Software

• xTras

Cites Work

• Unnamed Item
• Generalised space-time and gauge transformations
• \textit{xTras}: a field-theory inspired \textit{xAct} package for Mathematica
• The non-linear dual gravity equation of motion in eleven dimensions
• \(E_{11}\), SL(32) and central charges
• Tensor gauge fields in arbitrary representations of \(\operatorname{GL}(D,\mathbb R)\). Duality and Poincaré lemma
• Off-shell Hodge dualities in linearised gravity and \(E_{11}\)
• On geometric equations and duality for free higher spins
• Dual fields and \(E_{11}\)
• \(E_{11}\) must be a symmetry of strings and branes
• Higher spins from exotic dualisations
• A master exceptional field theory
• E11 in 11D
• Tensor gauge fields in arbitrary representations of \(\mathrm{GL}(D, {\mathbb{R})}\). II: Quadratic actions
• Gauge fields and infinite chains of dualities
• E ₁₁ and M theory
• A brief review of E theory
• Very extended E ₈ and A ₈ at low levels, gravity and supergravity
• An E11 invariant gauge fixing
• Frame-like off-shell dualization for mixed-symmetry gauge fields
• Irreducible representations of E theory
• On the different formulations of the E11 equations of motion
• Strongly coupled gravity and duality