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Bosonic string theory in Lorentzian principal circle bundles over anti-de-Sitter space \(\text{AdS}_3\) - MaRDI portal

Bosonic string theory in Lorentzian principal circle bundles over anti-de-Sitter space \(\text{AdS}_3\) (Q1603285)

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scientific article; zbMATH DE number 1766521
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Bosonic string theory in Lorentzian principal circle bundles over anti-de-Sitter space \(\text{AdS}_3\)
scientific article; zbMATH DE number 1766521

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    Bosonic string theory in Lorentzian principal circle bundles over anti-de-Sitter space \(\text{AdS}_3\) (English)
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    11 July 2002
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    The authors show wide families of \(r\)-elastic curves in \(\text{AdS}_3\) (the anti-de-Sitter space of dimension 3). This enables them (via the Kaluza-Klein mechanism) to obtain the bosonic conformal string theory associated with Nambu-Goto-Polyakov action in Lorentzian principal \(U(1)\)-bundles over \(\text{AdS}_3\) [cf. \textit{A. M. Polyakov}, Fine structure of strings, Nucl. Phys. B 268, 406--412 (1986)].
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    string theory
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    anti-de-Sitter space
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    Kaluza-Klein metric
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