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• W3084375758 abstract "Poisson-Lie T-duality of the Wess-Zumino-Witten (WZW) model having the group manifold of $SU(2)$ as target space is investigated. The whole construction relies on the deformation of the affine current algebra of the model, the semi-direct sum $mathfrak{su}(2)(mathbb{R}) , dot{oplus} , mathfrak{a}$, to the fully semisimple Kac-Moody algebra $mathfrak{sl}(2,mathbb{C})(mathbb{R})$. A two-parameter family of models with $SL(2,mathbb{C})$ as target phase space is obtained so that Poisson-Lie T-duality is realised as an $O(3,3)$ rotation in the phase space. The dual family shares the same phase space but its configuration space is $SB(2,mathbb{C})$, the Poisson-Lie dual of the group $SU(2)$. A parent action with doubled degrees of freedom on $SL(2,mathbb{C})$ is defined, together with its Hamiltonian description." @default.
• W3084375758 created "2020-09-14" @default.
• W3084375758 creator A5010227272 @default.
• W3084375758 creator A5012995360 @default.
• W3084375758 creator A5059079929 @default.
• W3084375758 date "2020-09-01" @default.
• W3084375758 modified "2023-09-27" @default.
• W3084375758 title "Poisson-Lie T-duality of WZW model via current algebra deformation" @default.
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• W3084375758 doi "https://doi.org/10.1007/jhep09(2020)060" @default.
• W3084375758 hasPublicationYear "2020" @default.
• W3084375758 type Work @default.
• W3084375758 sameAs 3084375758 @default.

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