Gravitational four-derivative corrections in non-relativistic heterotic supergravity and the $SO(8)$ Green-Schwarz mechanism
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914379088265216 |
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| author | Lescano, Eric |
| author_facet | Lescano, Eric |
| contents | We present the first explicit construction of the four-derivative gravitational corrections to heterotic supergravity in the non-relativistic (NR) limit. By extending the Bergshoeff-de Roo identification to NR backgrounds, we obtain the full finite four-derivative completion of the gravitational sector of the NR heterotic supergravity action. A key outcome is the emergence of a gravitational $SO(8)$ Green-Schwarz mechanism from the NR gauge transformation of the Kalb-Ramond field. This mechanism can be trivialized through suitable field redefinitions, in agreement with a previous analysis of this transformation. Our results establish a systematic framework for incorporating higher-curvature gravitational dynamics into NR string heterotic backgrounds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_09250 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gravitational four-derivative corrections in non-relativistic heterotic supergravity and the $SO(8)$ Green-Schwarz mechanism Lescano, Eric High Energy Physics - Theory We present the first explicit construction of the four-derivative gravitational corrections to heterotic supergravity in the non-relativistic (NR) limit. By extending the Bergshoeff-de Roo identification to NR backgrounds, we obtain the full finite four-derivative completion of the gravitational sector of the NR heterotic supergravity action. A key outcome is the emergence of a gravitational $SO(8)$ Green-Schwarz mechanism from the NR gauge transformation of the Kalb-Ramond field. This mechanism can be trivialized through suitable field redefinitions, in agreement with a previous analysis of this transformation. Our results establish a systematic framework for incorporating higher-curvature gravitational dynamics into NR string heterotic backgrounds. |
| title | Gravitational four-derivative corrections in non-relativistic heterotic supergravity and the $SO(8)$ Green-Schwarz mechanism |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.09250 |