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Completing $R^4$ using $O(d,d)$

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arxiv 2111.00018 v3 pith:4N4WM2EZ submitted 2021-10-29 hep-th

classification hep-th
keywords actionalphastringanswerb-fieldcasecoefficientcompleting
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The tree-level string effective action is known to contain quartic Riemann terms with coefficient $\zeta(3)\alpha'^3$. In the case of the type II string this is the first $\alpha'$ correction. We use the requirement that the action reduced on a $d$-torus should have an $O(d,d)$ symmetry to find the B-field couplings up to fifth order in fields. The answer turns out to have a surprisingly intricate structure.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Type IIB at eight derivatives: Five-Point Axio-Dilaton Couplings

    hep-th 2025-07 conditional novelty 6.0 of 10

    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.

  2. Perturbative K\"ahler Moduli Inflation

    hep-th 2025-06 reject novelty 6.0 of 10

    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.

  3. Fibre Inflation Meets Quintessence: Implications of Perturbative Stabilisation

    hep-th 2025-11 reject novelty 5.0 of 10

    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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