On The Consistent Supersymmetric Reduction Of Heterotic Supergravity With Geometrically Arising Yang-Mills Symmetries
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912793182076928 |
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| author | Pope, C. N. |
| author_facet | Pope, C. N. |
| contents | In the paper arXiv:2501.04771, a novel compactification of heterotic supergravity on a warped product of $\R\times T^{1,1}$ was constructed, where $T^{1,1}$ is a five-dimensional coset space $(SU(2)\times SU(2))/U(1)$. It was shown that this admits a four dimensional Minkowski vacuum solution with ${\cal N}=1$ supersymmetry, and furthermore that in the bosonic sector there exists a remarkable fully consistent truncation in which the gauge bosons of the $SU(2)\times SU(2)$ isometries of the $T^{1,1}$ are retained. In this paper, we examine this reduction further, and show that the consistency can be extended to include the fermionic sector also. Thus the heterotic theory admits a consistent reduction to give an ungauged ${\cal N}=1$ supergravity coupled to $SU(2)\times SU(2)$ Yang-Mills multiplets and a scalar multiplet. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_22993 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On The Consistent Supersymmetric Reduction Of Heterotic Supergravity With Geometrically Arising Yang-Mills Symmetries Pope, C. N. High Energy Physics - Theory In the paper arXiv:2501.04771, a novel compactification of heterotic supergravity on a warped product of $\R\times T^{1,1}$ was constructed, where $T^{1,1}$ is a five-dimensional coset space $(SU(2)\times SU(2))/U(1)$. It was shown that this admits a four dimensional Minkowski vacuum solution with ${\cal N}=1$ supersymmetry, and furthermore that in the bosonic sector there exists a remarkable fully consistent truncation in which the gauge bosons of the $SU(2)\times SU(2)$ isometries of the $T^{1,1}$ are retained. In this paper, we examine this reduction further, and show that the consistency can be extended to include the fermionic sector also. Thus the heterotic theory admits a consistent reduction to give an ungauged ${\cal N}=1$ supergravity coupled to $SU(2)\times SU(2)$ Yang-Mills multiplets and a scalar multiplet. |
| title | On The Consistent Supersymmetric Reduction Of Heterotic Supergravity With Geometrically Arising Yang-Mills Symmetries |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.22993 |