Three-point Functions in Duality-Invariant Higher-Derivative Gravity

Abstract

Doubled ${\alpha }^{\prime }$-geometry is the simplest higher-derivative gravitational theory with exact global duality symmetry. We use the double metric formulation of this theory to compute on-shell three-point functions to all orders in ${\alpha }^{\prime }$. A simple pattern emerges when comparing with the analogous bosonic and heterotic three-point functions. As in these theories, the amplitudes factorize. The theory has no Gauss-Bonnet term, but contains a Riemann-cubed interaction to second order in ${\alpha }^{\prime }$.

Typos in eqns (3.5) and (4.7) have been fixed

References in corpus (4)

• Double Field Theory
• T-duality and ${\alpha }^{\prime }$-corrections
• Double Field Theory at Order ${\alpha }^{\prime }$
• Green-Schwarz mechanism and ${\alpha }^{\prime }$-deformed Courant brackets

Cited by in corpus (10)

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• Duality Invariance and Higher Derivatives
• Second order higher-derivative corrections in Double Field Theory
• General String Cosmologies at Order ${\alpha }^{\prime }{}^3$
• On the curious spectrum of duality invariant higher-derivative gravity
• Background Independent Double Field Theory at Order ${\alpha }^{\prime }$: Metric vs. Frame-like Geometry
• The generalized Bergshoeff-de Roo identification II
• Slowly rotating and the accelerating ${\alpha }^{\prime }$-corrected black holes in four and higher dimensions
• An ${\alpha }^{\prime }$-complete theory of cosmology and its tensionless limit