Are Genus Corrections in Effective Actions Invariant Under Buscher Rules?
| Autor: | Garousi, Mohammad R. |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | It is well-established that the dimensional reduction of the classical effective action of string theory at any order of $\alpha'$ on a circle of arbitrary radius remains invariant under the higher-derivative extension of Buscher transformations. In this study, we explore the extension of this symmetry to higher-genus levels. By leveraging the validity of Buscher rules for any genus of the world-sheet, we observe 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 extension of the corresponding restricted Buscher rules does not yield the one-loop effective action at order $\alpha'^3$ as derived by the S-matrix method. Comment: 8 pages, Latex file, no figure;v2:The calculation at order $\alpha'^3$ does not confirm the proposal. Therefore, the title has been changed |
| Databáze: | arXiv |
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