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All-order generalized Green-Schwarz transformations

Faculty of Physics and Astronomy, University of Wrocław, Maksa Borna 9, 50-204 Wroclaw, Poland

^*Contact author: achilleas.gitsis@uwr.edu.pl
^†Contact author: falk.hassler@uwr.edu.pl; https://www.fhassler.de

Phys. Rev. D 113, 026026 – Published 29 January, 2026

DOI: https://doi.org/10.1103/clcv-3g1v

Abstract

Compatibility with T-duality severely constrains higher-derivative corrections to the low-energy supergravity limits of string theory. For example, it suggests that Lorentz transformations for heterotic strings are modified in precisely the way required for the Green-Schwarz anomaly cancellation mechanism. A systematic procedure to construct the resulting generalized Green-Schwarz transformations is the generalized Bergshoeff-de Roo identification (gBdRi) J. High Energy Phys. 11 (2018) 160; J. High Energy Phys. 01 (2021) 171. Although it in principle allows computing $α^{'}$ -corrections to higher and higher orders, technically it becomes unfeasible beyond $α^{' 2}$ . We revisit this problem with an alternative approach to the gBdRi, which we have recently developed. It gives rise to a very simple all-order transformation law whose closure we verify by explicitly computing the resulting gauge algebra.

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References (27)

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Phys. Rev. D 113, 026026– Published 29 January, 2026

Vol. 113, Iss. 2 — 15 January 2026

Received 1 December 2025
Accepted 5 January 2026

DOI: https://doi.org/10.1103/clcv-3g1v

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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All-order generalized Green-Schwarz transformations

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