Enhanced Coset Symmetries and Higher Derivative Corrections

Abstract

After dimensional reduction to three dimensions, the lowest order effective actions for pure gravity, M-theory and the Bosonic string admit an enhanced symmetry group. In this paper we initiate study of how this enhancement is affected by the inclusion of higher derivative terms. In particular we show that the coefficients of the scalar fields associated to the Cartan subalgebra are given by weights of the enhanced symmetry group.

37 pages Latex. Reference added and other minor corrections

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Cited by in corpus (20)

• Spacelike Singularities and Hidden Symmetries of Gravity
• Loops in exceptional field theory
• Duality Invariance and Higher Derivatives
• Curvature corrections and Kac-Moody compatibility conditions
• Duality Groups, Automorphic Forms and Higher Derivative Corrections
• Aspects of higher curvature terms and U-duality
• Perturbation Theory From Automorphic Forms
• Constraints on Automorphic Forms of Higher Derivative Terms from Compactification
• The octic E8 invariant
• U-Duality and the Compactified Gauss-Bonnet Term
• Arithmetic and Hyperbolic Structures in String Theory
• Non-propagating degrees of freedom in supergravity and very extended G_2
• Irreducible representations of E theory
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• Higher Derivative Corrections, Dimensional Reduction and Ehlers Duality
• Higher dualisations of linearised gravity and the $A_1^{+++}$ algebra
• Ehlers symmetry at the next derivative order
• Unifying R-symmetry in M-theory
• Symmetries of non-maximal supergravities with higher-derivative corrections
• What U Can Do: New Solutions and New Challenges Beyond Leading Order