Consistent Warped $\mathbb R\times T^{1,1}$ Reduction of Heterotic Supergravity
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866929748298432512 |
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| author | Ma, Liang Lu, H. |
| author_facet | Ma, Liang Lu, H. |
| contents | We find a curious duality between the bosonic sector of heterotic supergravity and the noncritical bosonic string with conformal anomaly. This allows us to map the Mink$_4\times S^3\times S^3$ vacuum of the bosonic string to a new warped $\mathbb R\times (T^{1,1}\times$Mink$_4)$ vacuum of the heterotic theory, which turns out to be supersymmetric, preserving $1/4$ of the supersymmetry. We perform consistent dimensional reduction of the heterotic theory on the warped $\mathbb R\times T^{1,1}$ internal space and obtain ${\cal N}=1$, $D=4$ supergravity, with one complex scalar multiplet and $SU(2)\times SU(2)$ Yang-Mills multiplets, where the gauge symmetry is originated from the isometry group of $T^{1,1}$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_04771 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Consistent Warped $\mathbb R\times T^{1,1}$ Reduction of Heterotic Supergravity Ma, Liang Lu, H. High Energy Physics - Theory General Relativity and Quantum Cosmology We find a curious duality between the bosonic sector of heterotic supergravity and the noncritical bosonic string with conformal anomaly. This allows us to map the Mink$_4\times S^3\times S^3$ vacuum of the bosonic string to a new warped $\mathbb R\times (T^{1,1}\times$Mink$_4)$ vacuum of the heterotic theory, which turns out to be supersymmetric, preserving $1/4$ of the supersymmetry. We perform consistent dimensional reduction of the heterotic theory on the warped $\mathbb R\times T^{1,1}$ internal space and obtain ${\cal N}=1$, $D=4$ supergravity, with one complex scalar multiplet and $SU(2)\times SU(2)$ Yang-Mills multiplets, where the gauge symmetry is originated from the isometry group of $T^{1,1}$. |
| title | Consistent Warped $\mathbb R\times T^{1,1}$ Reduction of Heterotic Supergravity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2501.04771 |