Effective action of bosonic string theory at order $α'^3$
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918202715406336 |
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| author | Ameri, Mehdi Pahlavan, Alireza Garousi, Mohammad R. |
| author_facet | Ameri, Mehdi Pahlavan, Alireza Garousi, Mohammad R. |
| contents | In this work, we derive the classical effective action of bosonic string theory at order $α'^{3}$ for the metric, Kalb-Ramond field, and dilaton by imposing a higher-derivative extension of the Buscher rules on the circular reduction of the minimal basis at this order, in the schemes where their corresponding actions at order $α'$ are the Meissner and the Metsaev-Tseytlin schemes. We find that T-duality fixes all coupling constants in terms of the known overall factor at order $α'$ and a single remaining parameter. This final parameter is determined by matching the single-trace term $\Tr(εεεε)$ in the four-graviton S-matrix element which lacks a massless pole, with the corresponding string theory amplitude. Our results for the Riemann quartic terms are in full agreement with those obtained from the nonlinear sigma-model approach. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_19471 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Effective action of bosonic string theory at order $α'^3$ Ameri, Mehdi Pahlavan, Alireza Garousi, Mohammad R. High Energy Physics - Theory In this work, we derive the classical effective action of bosonic string theory at order $α'^{3}$ for the metric, Kalb-Ramond field, and dilaton by imposing a higher-derivative extension of the Buscher rules on the circular reduction of the minimal basis at this order, in the schemes where their corresponding actions at order $α'$ are the Meissner and the Metsaev-Tseytlin schemes. We find that T-duality fixes all coupling constants in terms of the known overall factor at order $α'$ and a single remaining parameter. This final parameter is determined by matching the single-trace term $\Tr(εεεε)$ in the four-graviton S-matrix element which lacks a massless pole, with the corresponding string theory amplitude. Our results for the Riemann quartic terms are in full agreement with those obtained from the nonlinear sigma-model approach. |
| title | Effective action of bosonic string theory at order $α'^3$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.19471 |