Four-Derivative Yang-Mills Couplings in Heterotic Theory through T-Duality
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913362181357568 |
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| author | Garousi, Mohammad R. |
| author_facet | Garousi, Mohammad R. |
| contents | This study delves into the dimensional reduction of the classical effective action of heterotic string theory on a circle, along with its T-duality symmetry, with the aim of identifying the bosonic couplings. To achieve this, we propose a truncation scheme for the generalized Buscher rules and the reduced action, specifically targeting the truncation of the nonlinear appearance of the scalar component of the Yang-Mills field in the base space. By imposing this truncated T-duality on the reduced action, we successfully determine the four-derivative bosonic couplings in the minimal basis, where field redefinition is imposed. Notably, these couplings, which are associated with the Lorentz Chern-Simons coupling $HΩ$, exhibit an exact correspondence with the NS-NS couplings found in the Metsaev-Tseytlin action.
Furthermore, we investigate the bosonic couplings in the maximal basis, where field redefinition is not imposed. In this scenario, the truncated T-duality fixes the effective action up to 17 arbitrary parameters. By assigning specific values to these parameters, we establish a framework in which the NS-NS couplings align with those in the Meissner action. Remarkably, within this scheme, the Yang-Mills couplings precisely coincide with those obtained through the S-matrix method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00957 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Four-Derivative Yang-Mills Couplings in Heterotic Theory through T-Duality Garousi, Mohammad R. High Energy Physics - Theory This study delves into the dimensional reduction of the classical effective action of heterotic string theory on a circle, along with its T-duality symmetry, with the aim of identifying the bosonic couplings. To achieve this, we propose a truncation scheme for the generalized Buscher rules and the reduced action, specifically targeting the truncation of the nonlinear appearance of the scalar component of the Yang-Mills field in the base space. By imposing this truncated T-duality on the reduced action, we successfully determine the four-derivative bosonic couplings in the minimal basis, where field redefinition is imposed. Notably, these couplings, which are associated with the Lorentz Chern-Simons coupling $HΩ$, exhibit an exact correspondence with the NS-NS couplings found in the Metsaev-Tseytlin action. Furthermore, we investigate the bosonic couplings in the maximal basis, where field redefinition is not imposed. In this scenario, the truncated T-duality fixes the effective action up to 17 arbitrary parameters. By assigning specific values to these parameters, we establish a framework in which the NS-NS couplings align with those in the Meissner action. Remarkably, within this scheme, the Yang-Mills couplings precisely coincide with those obtained through the S-matrix method. |
| title | Four-Derivative Yang-Mills Couplings in Heterotic Theory through T-Duality |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.00957 |