Effective action of heterotic string theory at order α'²

2023/07/02 by Mohammad R. Garousi, Garousi, Mohammad R. · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2307.00544

openalex publication_date 2023/07/02 · openalex created_date 2023/07/05 · openalex updated_date 2026/07/28

Abstract

Upon examining the effective action of the heterotic string theory at order α'², an inconsistency between the Chern-Simons coupling Ω² and T-duality has been discovered. To address this issue, we introduce 60 parity-even independent geometrical couplings involving the B-field, metric, and dilation at the same order, each with arbitrary coefficients. To ensure the invariance of these couplings under T-duality, we consider the Miessner action for the couplings at order α' and rigorously determine the coefficients of the 60 couplings in terms of the Chern-Simons coupling. Notably, it is found that the coefficients of the Riemann cubed terms must be zero, which aligns with the results of S-matrix calculations. Additionally, the parity odd couplings at order α'² are obtained through T-duality. Overall, our analysis successfully resolves the inconsistency between the Chern-Simons coupling and T-duality, providing a more comprehensive understanding of the behavior of the heterotic string theory at order α'².

Cited by

• All-order generalized Green-Schwarz transformations
• Generalized Bergshoeff-de Roo identification in the Supergravity frame

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