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Tree-level R4 correction from O(d,d): NS-NS five-point terms

2024/06/21 by Linus Wulff, Wulff, Linus · 4 citations
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Computational Geometry and Mesh Generation #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2406.15240

openalex publication_date 2024/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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