Duality completion of higher derivative corrections

Abstract

We present a new method for completing higher derivative corrections for theories that exhibit duality symmetries under reduction. This proposal is based on the observation that duality symmetry in the reduced theory highly constrains the form of the unreduced theory. We apply this idea to closed bosonic string theory and complete the Riemann squared term to simply derive the known full tree-level effective action to order alpha'.

27 pages

References in corpus (5)

• Double Field Theory
• The gauge algebra of double field theory and Courant brackets
• Differential geometry with a projection: Application to double field theory
• Higher Derivative Brane Couplings from T-Duality
• Ehlers symmetry at the next derivative order

Cited by in corpus (29)

• T-duality and ${\alpha }^{\prime }$-corrections
• Heterotic $\alpha$'-corrections in Double Field Theory
• The Odd story of ${\alpha }^{\prime }$-corrections
• Effective action of type II superstring theories at order ${\alpha }^{\prime 3}$: NS-NS couplings
• The Geometry, Branes and Applications of Exceptional Field Theory
• Loops in exceptional field theory
• Duality Invariance and Higher Derivatives
• Duality constraints on effective actions
• T-duality Constraints on Higher Derivatives Revisited
• Second order higher-derivative corrections in Double Field Theory
• A master exceptional field theory
• Background Independent Double Field Theory at Order ${\alpha }^{\prime }$: Metric vs. Frame-like Geometry
• The generalized Bergshoeff-de Roo identification II
• Supersymmetry, T-duality and Heterotic ${\alpha }^{\prime }$-corrections
• Green-Schwarz Mechanism for String Dualities
• Higher Derivative Corrections to O-plane Actions: NS-NS Sector
• New Examples of Flux Vacua
• Ramond-Ramond S-matrix elements from T-dual Ward identity
• T-duality and hints of generalized geometry in string ${\alpha }^{\prime }$ corrections
• T-duality building blocks for ${\alpha }^{\prime }$ string corrections
• An off-shell D-brane action at order ${\alpha }^{\prime 2}$ in flat spacetime
• T-duality invariant effective actions at orders ${\alpha }^{\prime },{\alpha }^{\prime 2}$
• S-duality constraint on higher-derivative couplings
• Dimensional reduction of higher derivative heterotic supergravity
• Two Ramond-Ramond corrections to type II supergravity via field-theory amplitude
• Higher-derivative Heterotic Kerr-Sen Black Holes
• Consistent Four-derivative Heterotic Truncations and the Kerr-Sen Solution
• $O(d,d;\mathbb{Z})$ invariant Fierz-Pauli massive gravity
• Duality covariant field redefinitions