S-duality in higher-derivative corrections of heterotic supergravity
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908792614027264 |
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| author | Garousi, Mohammad R. |
| author_facet | Garousi, Mohammad R. |
| contents | This study examines the consistency of heterotic supergravity under T-duality when the $B$-field gauge transformation is rendered anomalous by the Green-Schwarz mechanism. We demonstrate that T-duality invariance mandates an infinite tower of higher-derivative couplings, all scaling as $e^{-2Φ}$. Within this tower, the couplings at orders $α'$ and $α'^2$ are protected from quantum corrections, making them exact and therefore amenable to analysis under the S-duality between heterotic and type I string theory. Our results confirm that the standard S-duality map itself does not receive higher-derivative modifications. Leveraging this exact correspondence, we derive the explicit form of the type I effective action at order $α'$ in a scheme that omits dilaton derivatives. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_00357 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | S-duality in higher-derivative corrections of heterotic supergravity Garousi, Mohammad R. High Energy Physics - Theory This study examines the consistency of heterotic supergravity under T-duality when the $B$-field gauge transformation is rendered anomalous by the Green-Schwarz mechanism. We demonstrate that T-duality invariance mandates an infinite tower of higher-derivative couplings, all scaling as $e^{-2Φ}$. Within this tower, the couplings at orders $α'$ and $α'^2$ are protected from quantum corrections, making them exact and therefore amenable to analysis under the S-duality between heterotic and type I string theory. Our results confirm that the standard S-duality map itself does not receive higher-derivative modifications. Leveraging this exact correspondence, we derive the explicit form of the type I effective action at order $α'$ in a scheme that omits dilaton derivatives. |
| title | S-duality in higher-derivative corrections of heterotic supergravity |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.00357 |