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- W2989695996 abstract "The Principal Chiral Model (PCM) defined on the group manifold of SU(2) is here investigated with the aim of getting a further deepening of its relation with Generalized and Doubled Geometry. A one-parameter family of equivalent Hamiltonian descriptions is introduced, and cast into the form of Born geometries. Then O(3,3) duality transformations of the target phase space are performed and we show that the resulting dual models are defined on the group SB(2,C) which is the Poisson-Lie dual of SU(2) in the Iwasawa decomposition of the Drinfel'd double SL(2, C). Moreover, starting from the Lagrangian approach, a new kind of duality is found between the SU(2) PCM and the natural one defined on SB(2,C) which is not an isometry of the target phase space. A parent action with doubled degrees of freedom and configuration space SL(2, C) is then defined that reduces to either one of the dually related models, once suitable constraints are implemented." @default.
- W2989695996 created "2019-12-05" @default.
- W2989695996 creator A5009790668 @default.
- W2989695996 creator A5012995360 @default.
- W2989695996 creator A5059079929 @default.
- W2989695996 date "2019-11-01" @default.
- W2989695996 modified "2023-10-12" @default.
- W2989695996 title "T-dualities and Doubled Geometry of the Principal Chiral Model" @default.
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- W2989695996 doi "https://doi.org/10.1007/jhep11(2019)060" @default.
- W2989695996 hasPublicationYear "2019" @default.
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