More on closed string effective actions at order $α'^2$
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| Format: | Preprint |
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2023
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| _version_ | 1866917724065628160 |
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| author | Gholian, Hadi Garousi, Mohammad R. |
| author_facet | Gholian, Hadi Garousi, Mohammad R. |
| contents | Recent progress in string theory has unveiled the discovery of NS-NS couplings in bosonic and heterotic effective actions at order $α'^2$, which were achieved by imposing $O(1,1)$ symmetry on the circle reduction of classical effective actions. While the bosonic theory features 25 couplings, the heterotic theory encompasses 24 parity-even and 3 parity-odd couplings, excluding the pure gravity couplings. In this study, we redefine the even-parity couplings in the bosonic and heterotic theories through the application of appropriate field redefinitions, resulting in 10 and 8 couplings, respectively. To establish the validity of these couplings, a cosmological reduction is conducted, demonstrating that the cosmological couplings in the heterotic theory vanish, subject to one-dimensional field redefinitions that include the lapse function and total derivative terms. Additionally, it is observed that the cosmological couplings in the bosonic theory can be expressed as $\mathrm{tr}(\dS^6)$. These results are consistent with existing literature, where such behavior is attributed to the pure gravity component of the couplings. Furthermore, the consistency of the obtained couplings with 4-point string theory S-matrix elements is confirmed. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2311_05207 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | More on closed string effective actions at order $α'^2$ Gholian, Hadi Garousi, Mohammad R. High Energy Physics - Theory Recent progress in string theory has unveiled the discovery of NS-NS couplings in bosonic and heterotic effective actions at order $α'^2$, which were achieved by imposing $O(1,1)$ symmetry on the circle reduction of classical effective actions. While the bosonic theory features 25 couplings, the heterotic theory encompasses 24 parity-even and 3 parity-odd couplings, excluding the pure gravity couplings. In this study, we redefine the even-parity couplings in the bosonic and heterotic theories through the application of appropriate field redefinitions, resulting in 10 and 8 couplings, respectively. To establish the validity of these couplings, a cosmological reduction is conducted, demonstrating that the cosmological couplings in the heterotic theory vanish, subject to one-dimensional field redefinitions that include the lapse function and total derivative terms. Additionally, it is observed that the cosmological couplings in the bosonic theory can be expressed as $\mathrm{tr}(\dS^6)$. These results are consistent with existing literature, where such behavior is attributed to the pure gravity component of the couplings. Furthermore, the consistency of the obtained couplings with 4-point string theory S-matrix elements is confirmed. |
| title | More on closed string effective actions at order $α'^2$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2311.05207 |