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• W3020976392 abstract "Duality properties of the $SU(2)$ Principal Chiral Model are investigated starting from a one-parameter family of its equivalent Hamiltonian descriptions generated by a non-Abelian deformation of the cotangent space $T^*SU(2) simeq SU(2) ltimes mathbb{R}^3$. The corresponding dual models are obtained through $O(3,3)$ duality transformations and result to be defined on the group $SB(2,mathbb{C})$, which is the Poisson-Lie dual of $SU(2)$ in the Iwasawa decomposition of the Drinfel'd double $SL(2,mathbb{C})=SU(2) bowtie SB(2,mathbb{C})$.These dual models provide an explicit realization of Poisson-Lie T-duality. A doubled generalized parent action is then built on the tangent space $TSL(2,mathbb{C})$. Furthermore, a generalization of the $SU(2)$ PCM with a WZ term is shortly discussed." @default.
• W3020976392 created "2020-05-13" @default.
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• W3020976392 date "2020-05-05" @default.
• W3020976392 modified "2023-09-27" @default.
• W3020976392 title "Principal Chiral Model without and with WZ term: Symmetries and Poisson-Lie T-Duality" @default.
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