Symmetries of non-maximal supergravities with higher-derivative corrections

Abstract

We consider hidden symmetries arising from U-duality in the dimensional reduction of non-maximal higher-derivative supergravities to three dimensions. In particular, we consider the $G_{2(2)}$ symmetry of minimal five-dimensional supergravity and the $O(d+p+1,d+1)$ symmetry of bosonic and heterotic string theory on $T^d$. Using a group theory argument, we show that the higher-derivative corrections explicitly break all hidden symmetry enhancements. As special cases, this also implies that higher-derivative corrections prevent the symmetry enhancement to $SL(3,\mathbb{R})$ in pure five-dimensional gravity and $O(4,4)$ in the STU model.

arXiv comment28 pages, 2 figures

References in corpus (63)

• Unity of Superstring Dualities
• Noncompact Symmetries in String Theory
• Strong-Weak Coupling Duality in Four Dimensional String Theory
• Rotating Charged Black Hole Solution in Heterotic String Theory
• Effects of D-instantons
• General Rotating Five Dimensional Black Holes of Toroidally Compactified Heterotic String
• Dualisation of Dualities, I
• One loop in eleven dimensions
• Supersymmetry Constraints on Type IIB Supergravity
• Twisting Classical Solutions in Heterotic String Theory
• Dualisation of Dualities, II: Twisted self-duality of doubled fields and superdualities
• On $R^4$ threshold corrections in IIB string theory and (p,q) string instantons
• D-instantons, Strings and M-theory
• Duality and higher derivative terms in M theory
• Two-Loop Superstrings VI: Non-Renormalization Theorems and the 4-Point Function
• Two loops in eleven dimensions
• Multiloop Amplitudes and Vanishing Theorems using the Pure Spinor Formalism for the Superstring
• Charged Rotating Black Holes in Four-Dimensional Gauged and Ungauged Supergravities
• Strong-Weak Coupling Duality in Three Dimensional String Theory
• General Static Spherically Symmetric Black Holes of Heterotic String on a Six Torus
• Two-loop superstrings and S-duality
• Automorphic properties of low energy string amplitudes in various dimensions
• Universal BPS structure of stationary supergravity solutions
• Nonperturbative corrections to 4D string theory effective actions from SL(2,Z) duality and supersymmetry
• Non-renormalisation Conditions in Type II String Theory and Maximal Supergravity
• On Brillouin Zones
• Eisenstein Series and String Thresholds
• Sixteen-fermion and related terms in M-theory on T**2
• More on the Similarity between D=5 Simple Supergravity and M Theory
• D-instantons and twistors
• Heterotic Effective Action and Duality Symmetries Revisited
• Euclidean-signature Supergravities, Dualities and Instantons
• Twisted Black p-Brane Solutions in String Theory
• $R^4$ couplings and automorphic unipotent representations
• A note on non-perturbative R^4 couplings
• Small representations, string instantons, and Fourier modes of Eisenstein series (with an appendix by D. Ciubotaru and P. Trapa)
• $G_2$ generating technique for minimal D=5 supergravity and black rings
• D-instantons and twistors: some exact results
• The D^4 R^4 term in type IIB string theory on T^2 and U-duality
• Loops in exceptional field theory
• G2 Dualities in D=5 Supergravity and Black Strings
• Higher genus superstring amplitudes from the geometry of moduli spaces
• The ${\hat{G}}^4{\lambda }^{16}$ Term in IIB Supergravity
• All the Four Dimensional Static, Spherically Symmetric Solutions of Abelian Kaluza-Klein Theory
• U-duality and D-brane Combinatorics
• Improved generating technique for D=5 supergravities and squashed Kaluza-Klein Black Holes
• Enhanced Coset Symmetries and Higher Derivative Corrections
• Charged Rotating Kaluza-Klein Black Holes Generated by G2(2) Transformation
• Eisenstein Series in String Theory
• Duality Groups, Automorphic Forms and Higher Derivative Corrections
• Higher Derivative Supergravities in Diverse Dimensions
• Aspects of higher curvature terms and U-duality
• Generating technique for $U(1{)}^{3}5D$ supergravity
• The D^6 R^4 term in type IIB string theory on T^2 and U-duality
• Supergravity divergences, supersymmetry and automorphic forms
• The $\beta$-symmetry of supergravity
• Consistent truncations in higher derivative supergravity
• Poincare Duality and G+++ algebra's
• New construction of a charged dipole black ring by Harrison transformation
• S-duality constraint on higher-derivative couplings
• New black ring with all independent conserved charges in five-dimensional minimal supergravity
• Higher-derivative Heterotic Kerr-Sen Black Holes
• Consistent Four-derivative Heterotic Truncations and the Kerr-Sen Solution