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

Wulff, Linus

doi:10.48550/arxiv.2111.00018

Cited by 1 publication

(1 citation statement)

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“…Imposing this invariance apparently allows to determine the eight-derivative NSNS action to all powers in H 3 [14]. Moreover, the recent work [74] discusses 5-point structures constrained by O(d, d) invariance. Comparing these results to ours, which requires the extensive use of field redefinitions, and eventual use of T-duality as a way of constraining higher-order interactions, is left to future work.…”

Section: Open Questions and Outlookmentioning

confidence: 99%

Type IIB at eight derivatives: insights from Superstrings, Superfields and Superparticles

Liu

Minasian

Savelli

et al. 2022

J. High Energ. Phys.

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We study the non-linear structure of Type IIB eight-derivative couplings involving the metric and the complexified three-form G3. We show that, at the level of five-point string amplitudes, the kinematics in the maximally R-symmetry-violating sector is fully matched by standard superspace integrals and by superparticle amplitudes in M-theory on a two-torus. The latter approach is used to determine the complete effective action in this sector and to verify its invariance under SL(2, ℤ) duality. We further comment on the general structure of the higher-point kinematics. Compactifications to lower dimensions provide both tests for our results and the arena for their applications. We verify that K3 reductions are fully consistent with the constraints of six-dimensional supersymmetry, and derive the four-dimensional flux scalar potential and axion kinetic terms at order (α′)3 in Calabi-Yau threefold reductions.

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Section: Open Questions and Outlookmentioning

confidence: 99%