# On elliptic string solutions in AdS3 and dS3

@article{Bakas2016OnES, title={On elliptic string solutions in AdS3 and dS3}, author={Ioannis Bakas and Georgios Pastras}, journal={Journal of High Energy Physics}, year={2016}, volume={2016}, pages={1-53} }

A bstractClassical string actions in AdS3 and dS3 can be connected to the sinh-Gordon and cosh-Gordon equations through Pohlmeyer reduction. We show that the problem of constructing a classical string solution with a given static or translationally invariant Pohlmeyer counterpart is equivalent to solving four pairs of effective Schrödinger problems. Each pair consists of a flat potential and an n = 1 Lamé potential whose eigenvalues are connected, and, additionally, the four solutions satisfy a…

## 20 Citations

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We study several physical aspects of the dressed elliptic strings propagating on $$\mathbb {R} \times \mathrm {S}^2$$R×S2 and of their counterparts in the Pohlmeyer reduced theory, i.e. the…

### Dressed elliptic string solutions on $$\mathbb {R}\times \hbox {S}^2$$R×S2

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We obtain classical string solutions on $$\mathbb {R}^t \times \hbox {S}^2$$Rt×S2 by applying the dressing method on string solutions with elliptic Pohlmeyer counterparts. This is realized through…

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