Rotating AdS$_3 \times$S$^3$ and Dyonic Strings from 3-Dimensions
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916461682884608 |
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| author | Deger, Nihat Sadik Deral, Ceren Ayse Saha, Aritra Sarıoğlu, Özgür |
| author_facet | Deger, Nihat Sadik Deral, Ceren Ayse Saha, Aritra Sarıoğlu, Özgür |
| contents | We make a general Killing spinor analysis of a particular $D=3, \, N=4$ gauged supergravity that comes from a consistent S$^3$ reduction of $D=6, \, N=(1,0)$ supergravity coupled to a single chiral tensor multiplet. We then focus on its supersymmetric solutions with a null Killing vector and find three new ones. Two of these, namely the null warped AdS$_3$ (also known as the Schrödinger spacetime) and the charged domain wall solutions, admit non-trivial gauge fields which give rise to rotating solutions in 6-dimensions. The uplift of the first one produces an interesting AdS$_3 \times$S$^3$ background with a non-trivial rotation in the $U(1)$ fiber direction of the S$^3$ which retains the Schrödinger scale invariance that the seed solution has. The second one leads to the well-known rotating dyonic string solution. Finally, the uplift of the third one, which is a domain wall solution with no gauge fields, results in a distribution of dyonic strings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03197 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rotating AdS$_3 \times$S$^3$ and Dyonic Strings from 3-Dimensions Deger, Nihat Sadik Deral, Ceren Ayse Saha, Aritra Sarıoğlu, Özgür High Energy Physics - Theory We make a general Killing spinor analysis of a particular $D=3, \, N=4$ gauged supergravity that comes from a consistent S$^3$ reduction of $D=6, \, N=(1,0)$ supergravity coupled to a single chiral tensor multiplet. We then focus on its supersymmetric solutions with a null Killing vector and find three new ones. Two of these, namely the null warped AdS$_3$ (also known as the Schrödinger spacetime) and the charged domain wall solutions, admit non-trivial gauge fields which give rise to rotating solutions in 6-dimensions. The uplift of the first one produces an interesting AdS$_3 \times$S$^3$ background with a non-trivial rotation in the $U(1)$ fiber direction of the S$^3$ which retains the Schrödinger scale invariance that the seed solution has. The second one leads to the well-known rotating dyonic string solution. Finally, the uplift of the third one, which is a domain wall solution with no gauge fields, results in a distribution of dyonic strings. |
| title | Rotating AdS$_3 \times$S$^3$ and Dyonic Strings from 3-Dimensions |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.03197 |