Tensor hierarchy and generalized Cartan calculus in \(\mathrm{SL}(3) \times\mathrm{SL}(2)\) exceptional field theory

DOI10.1007/JHEP04(2015)050zbMath1388.83826arXiv1501.01600MaRDI QIDQ2635242

Olaf Hohm, Yi-Nan Wang

Publication date: 31 May 2018

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

Full work available at URL: https://arxiv.org/abs/1501.01600

zbMATH Keywords

M-theorysupergravity modelsstring dualitydifferential and algebraic geometry

Mathematics Subject Classification ID

Supergravity (83E50)

Related Items

A non-relativistic limit of M-theory and 11-dimensional membrane Newton-Cartan geometry ⋮ \(E_{8(8)}\) exceptional field theory: geometry, fermions and supersymmetry ⋮ The tensor hierarchy of 8-dimensional field theories ⋮ Exceptional field theory: SL(5) ⋮ World-volume effective action of exotic five-brane in M-theory ⋮ Exotic brane junctions from F-theory ⋮ The exceptional story of massive IIA supergravity ⋮ A note on large gauge transformations in double field theory ⋮ Exceptional field theory: \(\mathrm{SO}(5,5)\) ⋮ Generalized Cartan calculus in general dimension ⋮ Dualising consistent IIA/IIB truncations ⋮ The exceptional sigma model ⋮ Duality hierarchies and differential graded Lie algebras ⋮ A Kaluza–Klein Approach to Double and Exceptional Field Theory ⋮ Higher Gauge Structures in Double and Exceptional Field Theory ⋮ A geometric formulation of exceptional field theory ⋮ Effective action for non-geometric fluxes duality covariant actions ⋮ Extended geometry of magical supergravities ⋮ On exceptional QP-manifolds ⋮ Particle actions and brane tensions from double and exceptional geometry ⋮ Exotic branes in exceptional field theory: \(E_{7(7)}\) and beyond ⋮ Non-relativistic duality and \(T\overline{T}\) deformations ⋮ Infinity-enhancing of Leibniz algebras ⋮ \(L_{\infty}\) algebras and tensor hierarchies in exceptional field theory and gauged supergravity ⋮ The canonical formulation of \(E_{6(6)}\) exceptional field theory ⋮ Locally non-geometric fluxes and missing momenta in M-theory ⋮ Generalized parallelizable spaces from exceptional field theory ⋮ 7-dimensional \(\mathcal{N} = 2\) consistent truncations using SL(5) exceptional field theory ⋮ Geometry of \(\mathbb{R}^+ {\times} E_{3(3)}\) exceptional field theory and F-theory ⋮ On supersymmetric \(E_{11}\) exceptional field theory ⋮ The classical double copy for M-theory from a Kerr-Schild ansatz for exceptional field theory ⋮ Weaving the exotic web ⋮ O-folds. Orientifolds and orbifolds in exceptional field theory ⋮ A master exceptional field theory ⋮ \(E_9\) exceptional field theory. II: The complete dynamics ⋮ Leibniz-Chern-Simons theory and phases of exceptional field theory ⋮ Open exceptional strings and D-branes ⋮ Non-Riemannian geometry of M-theory ⋮ Leibniz gauge theories and infinity structures

Cites Work

• \({E_d}_{(d)}\times \mathbb{R}^{+}\) generalised geometry, connections and M theory
• Global aspects of double geometry
• Supersymmetric \(E_{7(7)}\) exceptional field theory
• Large gauge transformations in double field theory
• Generalized geometry and M theory
• Double field theory of type II strings
• The \({\mathcal N}=1\) effective action of F-theory compactifications
• Non-gravitational exceptional supermultiplets
• U-duality covariant gravity
• \(E_{11}\), SL(32) and central charges
• Consistent Kaluza-Klein truncations via exceptional field theory
• Fermions and supersymmetry in \(E_{6(6)}\) exceptional field theory
• Evidence for F-theory
• Background independent action for double field theory
• Generalized metric formulation of double field theory
• Double field theory and \( \mathcal{N} = {4} \) gauged supergravity
• Erratum: The effective action of double field theory
• Massive type II in double field theory
• Duality invariant actions and generalised geometry
• Strings, branes and the self-dual solutions of exceptional field theory
• An exceptional geometry for d = 11 supergravity?
• Hidden symmetries, central charges and all that
• E ₁₁ and M theory
• The spacetime of double field theory: Review, remarks, and outlook
• <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
• Frame-like geometry of double field theory
• Gauged maximal supergravities and hierarchies of nonabelian vector‐tensor systems