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S duality in higher-derivative corrections of heterotic supergravity

Mohammad R. Garousi*

  • *Contact author: garousi@um.ac.ir
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Phys. Rev. D 112, 046007 – Published 7 August, 2025

DOI: https://doi.org/10.1103/jkj3-drz4

Abstract

This study investigates the consistency of heterotic supergravity, where the B-field gauge transformation becomes anomalous due to the Green-Schwarz mechanism, under T-duality transformations. We establish that preserving T duality necessitates an infinite tower of higher-derivative couplings proportional to e−2Φ. For spacetimes featuring a Killing self-dual circle, these couplings remain immune to quantum corrections. Leveraging S duality in heterotic or type I string theory, we then identify the corresponding couplings in type I theory. Notably, our analysis reveals that standard S-duality transformations do not involve higher-derivative corrections. Building on this insight, we derive the explicit form of the effective action for type I theory at the α′ order, adhering to a scheme that omits derivatives of the dilaton.

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Phys. Rev. D 112, 046007– Published 7 August, 2025
  • Received 4 May 2025
  • Accepted 10 July 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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