Gespeichert in:
| 1. Verfasser: | |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2604.25041 |
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Inhaltsangabe:
- We construct string backgrounds in dimension 2 which connect the Hamilton cigar to the round sphere. Specifically, we construct a 1-parameter family of rotationally symmetric steady gradient Ricci-Yang-Mills solitons on surfaces, where we denote the parameter by $λ\in[-2,\infty)$. At $λ=-2$ is the Hamilton cigar, for $-2<λ<0$ the solitons are asymptotic to cylinders, at $λ=0$ is a complete noncompact soliton forming a cusp at infinity, and as $λ$ approaches infinity the family approaches a round point. Furthermore, we show any complete steady gradient Ricci-Yang-Mills soliton on a surface must come from this family.