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Tree-level $R^4$ correction from $O(d,d)$: NS-NS five-point terms
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abstract
The tree-level string effective action reduced from $D$ to $D-d$ dimensions possesses a continuous $O(d,d)$ symmetry, closely related to T-duality. A necessary condition for a higher derivative correction to preserve this symmetry is that certain $O(d,d)$ violating terms which appear in the dimensional reduction have to cancel out. We use this idea to complete the quartic Riemann correction with all terms involving five NS-NS sector fields. The resulting Lagrangian is considerably simpler than expressions that have previously appeared in the literature.
Forward citations
Cited by 4 Pith papers
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$\alpha'$-Bootstrap
An infinite-dimensional algebraic structure on a megaspace yields recursive, T-duality-covariant NS-NS α' and α'^{2} corrections matching known bosonic and heterotic results up to field redefinitions.
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Type IIB at eight derivatives: Five-Point Axio-Dilaton Couplings
The complete five-point, eight-derivative effective action of Type IIB in the gravity plus axio-dilaton sector is derived, with identical tree-level and one-loop kinematics and full SL(2,Z) modular completion.
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Perturbative K\"ahler Moduli Inflation
Two classes of slow-roll inflation potentials, V0(1+C1 φ^(2/3)) and V0(1-C2 φ^(-2/3)), are derived from perturbative Kähler moduli stabilization and give r below 10^-2 and 10^-8.
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Fibre Inflation Meets Quintessence: Implications of Perturbative Stabilisation
Adding a base-modulus redefinition to fibre inflation in perturbative LVS shifts (ns, r) into ACT-allowed territory and yields an axion quintessence companion.
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