Are Genus Corrections in Effective Actions Invariant Under Buscher Rules?
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916514956836864 |
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| author | Garousi, Mohammad R. |
| author_facet | Garousi, Mohammad R. |
| contents | It is well-established that the dimensional reduction of the classical effective action of string theory at any order of $α'$ on a circle of arbitrary radius remains invariant under the higher-derivative extension of Buscher transformations. In this study, we extend this symmetry to higher-genus levels. By leveraging the validity of Buscher rules for any genus of the world-sheet, we find that the measure of the effective action remains invariant only when reduced on a self-dual circle. Our findings indicate that the invariance of the Lagrangian density under the higher-derivative and higher-genus extension of the corresponding restricted Buscher rules does not yield the one-loop effective action at order $α'^3$ as derived by the S-matrix method. This result aligns with the general belief that quantum gravity has no global symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_18482 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Are Genus Corrections in Effective Actions Invariant Under Buscher Rules? Garousi, Mohammad R. High Energy Physics - Theory It is well-established that the dimensional reduction of the classical effective action of string theory at any order of $α'$ on a circle of arbitrary radius remains invariant under the higher-derivative extension of Buscher transformations. In this study, we extend this symmetry to higher-genus levels. By leveraging the validity of Buscher rules for any genus of the world-sheet, we find that the measure of the effective action remains invariant only when reduced on a self-dual circle. Our findings indicate that the invariance of the Lagrangian density under the higher-derivative and higher-genus extension of the corresponding restricted Buscher rules does not yield the one-loop effective action at order $α'^3$ as derived by the S-matrix method. This result aligns with the general belief that quantum gravity has no global symmetry. |
| title | Are Genus Corrections in Effective Actions Invariant Under Buscher Rules? |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.18482 |