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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2502.08711 |
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| _version_ | 1866917176014798848 |
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| author | Lescano, Eric |
| author_facet | Lescano, Eric |
| contents | We show that the $D=10$ heterotic supergravity under a non-relativistic (NR) limit has a finite Lagrangian due to non-trivial cancellations of divergent parts arising from the Chern-Simons terms in the curvature of the $\hat B$-field and the Yang-Mills Lagrangian. This is similar to what happens in bosonic supergravity between the Ricci scalar, $\hat R$, and the $- \frac{1}{12} \hat H^2$ term, under the same limit. In this work we present the explicit form of the gauge transformations and gauge curvatures after considering a NR limit. We compute the full finite Lagrangian in its gauge covariant form, using gauge covariant curvatures and gauge covariant derivatives. These results constitute the first computation of a finite Lagrangian for heterotic supergravity under these kinds of limits. As an interesting feature of the expansion implemented, the Green-Schwarz mechanism for the two-form can be trivialized. Terms equivalent to Chern-Simons contributions naturally arise from the previous property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_08711 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Non-Relativistic Limit for Heterotic Supergravity and its Gauge Lagrangian Lescano, Eric High Energy Physics - Theory We show that the $D=10$ heterotic supergravity under a non-relativistic (NR) limit has a finite Lagrangian due to non-trivial cancellations of divergent parts arising from the Chern-Simons terms in the curvature of the $\hat B$-field and the Yang-Mills Lagrangian. This is similar to what happens in bosonic supergravity between the Ricci scalar, $\hat R$, and the $- \frac{1}{12} \hat H^2$ term, under the same limit. In this work we present the explicit form of the gauge transformations and gauge curvatures after considering a NR limit. We compute the full finite Lagrangian in its gauge covariant form, using gauge covariant curvatures and gauge covariant derivatives. These results constitute the first computation of a finite Lagrangian for heterotic supergravity under these kinds of limits. As an interesting feature of the expansion implemented, the Green-Schwarz mechanism for the two-form can be trivialized. Terms equivalent to Chern-Simons contributions naturally arise from the previous property. |
| title | A Non-Relativistic Limit for Heterotic Supergravity and its Gauge Lagrangian |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.08711 |